What is the Least Common Multiple of 27456 and 27464?

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 27456 and 27464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27456 and 27464, than apply into the LCM equation.

GCF(27456,27464) = 8
LCM(27456,27464) = ( 27456 × 27464) / 8
LCM(27456,27464) = 754051584 / 8
LCM(27456,27464) = 94256448

Least Common Multiple (LCM) of 27456 and 27464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27456 and 27464. First we will calculate the prime factors of 27456 and 27464.

Prime Factorization of 27456

Prime Factorization of 27464

Now multiplying the highest exponent prime factors to calculate the LCM of 27456 and 27464.

LCM(27456,27464) = 2⁶ × 3¹ × 11¹ × 13¹ × 3433¹
LCM(27456,27464) = 94256448