What is the Least Common Multiple of 53914 and 53928?

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 53914 and 53928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53914 and 53928, than apply into the LCM equation.

GCF(53914,53928) = 14
LCM(53914,53928) = ( 53914 × 53928) / 14
LCM(53914,53928) = 2907474192 / 14
LCM(53914,53928) = 207676728

Least Common Multiple (LCM) of 53914 and 53928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53914 and 53928. First we will calculate the prime factors of 53914 and 53928.

Prime Factorization of 53914

Prime Factorization of 53928

Now multiplying the highest exponent prime factors to calculate the LCM of 53914 and 53928.

LCM(53914,53928) = 2³ × 7¹ × 3851¹ × 3² × 107¹
LCM(53914,53928) = 207676728