What is the Least Common Multiple of 55446 and 55456?

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 55446 and 55456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55446 and 55456, than apply into the LCM equation.

GCF(55446,55456) = 2
LCM(55446,55456) = ( 55446 × 55456) / 2
LCM(55446,55456) = 3074813376 / 2
LCM(55446,55456) = 1537406688

Least Common Multiple (LCM) of 55446 and 55456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55446 and 55456. First we will calculate the prime factors of 55446 and 55456.

Prime Factorization of 55446

Prime Factorization of 55456

Now multiplying the highest exponent prime factors to calculate the LCM of 55446 and 55456.

LCM(55446,55456) = 2⁵ × 3¹ × 9241¹ × 1733¹
LCM(55446,55456) = 1537406688