What is the Least Common Multiple of 32460 and 32475?

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 32460 and 32475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32460 and 32475, than apply into the LCM equation.

GCF(32460,32475) = 15
LCM(32460,32475) = ( 32460 × 32475) / 15
LCM(32460,32475) = 1054138500 / 15
LCM(32460,32475) = 70275900

Least Common Multiple (LCM) of 32460 and 32475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32460 and 32475. First we will calculate the prime factors of 32460 and 32475.

Prime Factorization of 32460

Prime Factorization of 32475

Now multiplying the highest exponent prime factors to calculate the LCM of 32460 and 32475.

LCM(32460,32475) = 2² × 3¹ × 5² × 541¹ × 433¹
LCM(32460,32475) = 70275900