What is the Least Common Multiple of 32710 and 32727?

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 32710 and 32727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32710 and 32727, than apply into the LCM equation.

GCF(32710,32727) = 1
LCM(32710,32727) = ( 32710 × 32727) / 1
LCM(32710,32727) = 1070500170 / 1
LCM(32710,32727) = 1070500170

Least Common Multiple (LCM) of 32710 and 32727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32710 and 32727. First we will calculate the prime factors of 32710 and 32727.

Prime Factorization of 32710

Prime Factorization of 32727

Now multiplying the highest exponent prime factors to calculate the LCM of 32710 and 32727.

LCM(32710,32727) = 2¹ × 5¹ × 3271¹ × 3¹ × 10909¹
LCM(32710,32727) = 1070500170