What is the Least Common Multiple of 55260 and 55268?

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 55260 and 55268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55260 and 55268, than apply into the LCM equation.

GCF(55260,55268) = 4
LCM(55260,55268) = ( 55260 × 55268) / 4
LCM(55260,55268) = 3054109680 / 4
LCM(55260,55268) = 763527420

Least Common Multiple (LCM) of 55260 and 55268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55260 and 55268. First we will calculate the prime factors of 55260 and 55268.

Prime Factorization of 55260

Prime Factorization of 55268

Now multiplying the highest exponent prime factors to calculate the LCM of 55260 and 55268.

LCM(55260,55268) = 2² × 3² × 5¹ × 307¹ × 41¹ × 337¹
LCM(55260,55268) = 763527420