What is the Least Common Multiple of 91446 and 91464?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91446 and 91464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91446 and 91464, than apply into the LCM equation.

GCF(91446,91464) = 6
LCM(91446,91464) = ( 91446 × 91464) / 6
LCM(91446,91464) = 8364016944 / 6
LCM(91446,91464) = 1394002824

Least Common Multiple (LCM) of 91446 and 91464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91446 and 91464. First we will calculate the prime factors of 91446 and 91464.

Prime Factorization of 91446

Prime Factorization of 91464

Now multiplying the highest exponent prime factors to calculate the LCM of 91446 and 91464.

LCM(91446,91464) = 2³ × 3¹ × 15241¹ × 37¹ × 103¹
LCM(91446,91464) = 1394002824