What is the Least Common Multiple of 55032 and 55048?

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 55032 and 55048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55032 and 55048, than apply into the LCM equation.

GCF(55032,55048) = 8
LCM(55032,55048) = ( 55032 × 55048) / 8
LCM(55032,55048) = 3029401536 / 8
LCM(55032,55048) = 378675192

Least Common Multiple (LCM) of 55032 and 55048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55032 and 55048. First we will calculate the prime factors of 55032 and 55048.

Prime Factorization of 55032

Prime Factorization of 55048

Now multiplying the highest exponent prime factors to calculate the LCM of 55032 and 55048.

LCM(55032,55048) = 2³ × 3¹ × 2293¹ × 7¹ × 983¹
LCM(55032,55048) = 378675192