What is the Least Common Multiple of 32945 and 32955?

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 32945 and 32955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32945 and 32955, than apply into the LCM equation.

GCF(32945,32955) = 5
LCM(32945,32955) = ( 32945 × 32955) / 5
LCM(32945,32955) = 1085702475 / 5
LCM(32945,32955) = 217140495

Least Common Multiple (LCM) of 32945 and 32955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32945 and 32955. First we will calculate the prime factors of 32945 and 32955.

Prime Factorization of 32945

Prime Factorization of 32955

Now multiplying the highest exponent prime factors to calculate the LCM of 32945 and 32955.

LCM(32945,32955) = 5¹ × 11¹ × 599¹ × 3¹ × 13³
LCM(32945,32955) = 217140495