What is the Least Common Multiple of 32157 and 32177?

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 32157 and 32177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32157 and 32177, than apply into the LCM equation.

GCF(32157,32177) = 1
LCM(32157,32177) = ( 32157 × 32177) / 1
LCM(32157,32177) = 1034715789 / 1
LCM(32157,32177) = 1034715789

Least Common Multiple (LCM) of 32157 and 32177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32157 and 32177. First we will calculate the prime factors of 32157 and 32177.

Prime Factorization of 32157

Prime Factorization of 32177

Now multiplying the highest exponent prime factors to calculate the LCM of 32157 and 32177.

LCM(32157,32177) = 3⁴ × 397¹ × 23¹ × 1399¹
LCM(32157,32177) = 1034715789