What is the Least Common Multiple of 53177 and 53188?

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 53177 and 53188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53177 and 53188, than apply into the LCM equation.

GCF(53177,53188) = 1
LCM(53177,53188) = ( 53177 × 53188) / 1
LCM(53177,53188) = 2828378276 / 1
LCM(53177,53188) = 2828378276

Least Common Multiple (LCM) of 53177 and 53188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53177 and 53188. First we will calculate the prime factors of 53177 and 53188.

Prime Factorization of 53177

Prime Factorization of 53188

Now multiplying the highest exponent prime factors to calculate the LCM of 53177 and 53188.

LCM(53177,53188) = 41¹ × 1297¹ × 2² × 13297¹
LCM(53177,53188) = 2828378276