from .math_gcd_lcm_gcd import gcd
from .math_gcd_lcm_lcm import lcm
from .math_gcd_lcm_types import GcdLcm


def gcd_lcm(a: int, b: int) -> GcdLcm:
    """Greatest common divisor and least common multiple of two integers.

    Both are returned together because a caller needing one nearly always
    needs the other (common denominators, repeating schedules).
    """
    return GcdLcm(gcd=gcd(a, b), lcm=lcm(a, b))