What is the Least Common Multiple of 55048 and 55064?

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 55048 and 55064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55048 and 55064, than apply into the LCM equation.

GCF(55048,55064) = 8
LCM(55048,55064) = ( 55048 × 55064) / 8
LCM(55048,55064) = 3031163072 / 8
LCM(55048,55064) = 378895384

Least Common Multiple (LCM) of 55048 and 55064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55048 and 55064. First we will calculate the prime factors of 55048 and 55064.

Prime Factorization of 55048

Prime Factorization of 55064

Now multiplying the highest exponent prime factors to calculate the LCM of 55048 and 55064.

LCM(55048,55064) = 2³ × 7¹ × 983¹ × 6883¹
LCM(55048,55064) = 378895384