What is the Least Common Multiple of 53132 and 53138?

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 53132 and 53138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53132 and 53138, than apply into the LCM equation.

GCF(53132,53138) = 2
LCM(53132,53138) = ( 53132 × 53138) / 2
LCM(53132,53138) = 2823328216 / 2
LCM(53132,53138) = 1411664108

Least Common Multiple (LCM) of 53132 and 53138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53132 and 53138. First we will calculate the prime factors of 53132 and 53138.

Prime Factorization of 53132

Prime Factorization of 53138

Now multiplying the highest exponent prime factors to calculate the LCM of 53132 and 53138.

LCM(53132,53138) = 2² × 37¹ × 359¹ × 163²
LCM(53132,53138) = 1411664108