What is the Least Common Multiple of 27456 and 27462?

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 27462 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 27462, than apply into the LCM equation.

GCF(27456,27462) = 6
LCM(27456,27462) = ( 27456 × 27462) / 6
LCM(27456,27462) = 753996672 / 6
LCM(27456,27462) = 125666112

Least Common Multiple (LCM) of 27456 and 27462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27456 and 27462. First we will calculate the prime factors of 27456 and 27462.

Prime Factorization of 27456

Prime Factorization of 27462

Now multiplying the highest exponent prime factors to calculate the LCM of 27456 and 27462.

LCM(27456,27462) = 2⁶ × 3¹ × 11¹ × 13¹ × 23¹ × 199¹
LCM(27456,27462) = 125666112