What is the Least Common Multiple of 55936 and 55947?

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 55936 and 55947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55936 and 55947, than apply into the LCM equation.

GCF(55936,55947) = 1
LCM(55936,55947) = ( 55936 × 55947) / 1
LCM(55936,55947) = 3129451392 / 1
LCM(55936,55947) = 3129451392

Least Common Multiple (LCM) of 55936 and 55947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55936 and 55947. First we will calculate the prime factors of 55936 and 55947.

Prime Factorization of 55936

Prime Factorization of 55947

Now multiplying the highest exponent prime factors to calculate the LCM of 55936 and 55947.

LCM(55936,55947) = 2⁷ × 19¹ × 23¹ × 3¹ × 17¹ × 1097¹
LCM(55936,55947) = 3129451392