What is the Least Common Multiple of 54642 and 54656?

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 54642 and 54656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54642 and 54656, than apply into the LCM equation.

GCF(54642,54656) = 14
LCM(54642,54656) = ( 54642 × 54656) / 14
LCM(54642,54656) = 2986513152 / 14
LCM(54642,54656) = 213322368

Least Common Multiple (LCM) of 54642 and 54656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54642 and 54656. First we will calculate the prime factors of 54642 and 54656.

Prime Factorization of 54642

Prime Factorization of 54656

Now multiplying the highest exponent prime factors to calculate the LCM of 54642 and 54656.

LCM(54642,54656) = 2⁷ × 3¹ × 7¹ × 1301¹ × 61¹
LCM(54642,54656) = 213322368