What is the Least Common Multiple of 32315 and 32330?

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 32315 and 32330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32315 and 32330, than apply into the LCM equation.

GCF(32315,32330) = 5
LCM(32315,32330) = ( 32315 × 32330) / 5
LCM(32315,32330) = 1044743950 / 5
LCM(32315,32330) = 208948790

Least Common Multiple (LCM) of 32315 and 32330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32315 and 32330. First we will calculate the prime factors of 32315 and 32330.

Prime Factorization of 32315

Prime Factorization of 32330

Now multiplying the highest exponent prime factors to calculate the LCM of 32315 and 32330.

LCM(32315,32330) = 5¹ × 23¹ × 281¹ × 2¹ × 53¹ × 61¹
LCM(32315,32330) = 208948790