What is the Least Common Multiple of 32712 and 32730?

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 32712 and 32730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32712 and 32730, than apply into the LCM equation.

GCF(32712,32730) = 6
LCM(32712,32730) = ( 32712 × 32730) / 6
LCM(32712,32730) = 1070663760 / 6
LCM(32712,32730) = 178443960

Least Common Multiple (LCM) of 32712 and 32730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32712 and 32730. First we will calculate the prime factors of 32712 and 32730.

Prime Factorization of 32712

Prime Factorization of 32730

Now multiplying the highest exponent prime factors to calculate the LCM of 32712 and 32730.

LCM(32712,32730) = 2³ × 3¹ × 29¹ × 47¹ × 5¹ × 1091¹
LCM(32712,32730) = 178443960