What is the Least Common Multiple of 53907 and 53916?

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 53907 and 53916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53907 and 53916, than apply into the LCM equation.

GCF(53907,53916) = 3
LCM(53907,53916) = ( 53907 × 53916) / 3
LCM(53907,53916) = 2906449812 / 3
LCM(53907,53916) = 968816604

Least Common Multiple (LCM) of 53907 and 53916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53907 and 53916. First we will calculate the prime factors of 53907 and 53916.

Prime Factorization of 53907

Prime Factorization of 53916

Now multiplying the highest exponent prime factors to calculate the LCM of 53907 and 53916.

LCM(53907,53916) = 3¹ × 7¹ × 17¹ × 151¹ × 2² × 4493¹
LCM(53907,53916) = 968816604