What is the Least Common Multiple of 54456 and 54464?

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 54456 and 54464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54456 and 54464, than apply into the LCM equation.

GCF(54456,54464) = 8
LCM(54456,54464) = ( 54456 × 54464) / 8
LCM(54456,54464) = 2965891584 / 8
LCM(54456,54464) = 370736448

Least Common Multiple (LCM) of 54456 and 54464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54456 and 54464. First we will calculate the prime factors of 54456 and 54464.

Prime Factorization of 54456

Prime Factorization of 54464

Now multiplying the highest exponent prime factors to calculate the LCM of 54456 and 54464.

LCM(54456,54464) = 2⁶ × 3¹ × 2269¹ × 23¹ × 37¹
LCM(54456,54464) = 370736448