What is the Least Common Multiple of 32709 and 32715?

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 32709 and 32715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32709 and 32715, than apply into the LCM equation.

GCF(32709,32715) = 3
LCM(32709,32715) = ( 32709 × 32715) / 3
LCM(32709,32715) = 1070074935 / 3
LCM(32709,32715) = 356691645

Least Common Multiple (LCM) of 32709 and 32715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32709 and 32715. First we will calculate the prime factors of 32709 and 32715.

Prime Factorization of 32709

Prime Factorization of 32715

Now multiplying the highest exponent prime factors to calculate the LCM of 32709 and 32715.

LCM(32709,32715) = 3² × 10903¹ × 5¹ × 727¹
LCM(32709,32715) = 356691645