What is the Least Common Multiple of 55116 and 55120?

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 55116 and 55120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55116 and 55120, than apply into the LCM equation.

GCF(55116,55120) = 4
LCM(55116,55120) = ( 55116 × 55120) / 4
LCM(55116,55120) = 3037993920 / 4
LCM(55116,55120) = 759498480

Least Common Multiple (LCM) of 55116 and 55120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55116 and 55120. First we will calculate the prime factors of 55116 and 55120.

Prime Factorization of 55116

Prime Factorization of 55120

Now multiplying the highest exponent prime factors to calculate the LCM of 55116 and 55120.

LCM(55116,55120) = 2⁴ × 3² × 1531¹ × 5¹ × 13¹ × 53¹
LCM(55116,55120) = 759498480