What is the Least Common Multiple of 55104 and 55116?

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 55104 and 55116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55104 and 55116, than apply into the LCM equation.

GCF(55104,55116) = 12
LCM(55104,55116) = ( 55104 × 55116) / 12
LCM(55104,55116) = 3037112064 / 12
LCM(55104,55116) = 253092672

Least Common Multiple (LCM) of 55104 and 55116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55104 and 55116. First we will calculate the prime factors of 55104 and 55116.

Prime Factorization of 55104

Prime Factorization of 55116

Now multiplying the highest exponent prime factors to calculate the LCM of 55104 and 55116.

LCM(55104,55116) = 2⁶ × 3² × 7¹ × 41¹ × 1531¹
LCM(55104,55116) = 253092672