What is the Least Common Multiple of 55596 and 55616?

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 55596 and 55616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55596 and 55616, than apply into the LCM equation.

GCF(55596,55616) = 4
LCM(55596,55616) = ( 55596 × 55616) / 4
LCM(55596,55616) = 3092027136 / 4
LCM(55596,55616) = 773006784

Least Common Multiple (LCM) of 55596 and 55616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55596 and 55616. First we will calculate the prime factors of 55596 and 55616.

Prime Factorization of 55596

Prime Factorization of 55616

Now multiplying the highest exponent prime factors to calculate the LCM of 55596 and 55616.

LCM(55596,55616) = 2⁶ × 3¹ × 41¹ × 113¹ × 11¹ × 79¹
LCM(55596,55616) = 773006784