What is the Least Common Multiple of 32975 and 32980?

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 32975 and 32980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32975 and 32980, than apply into the LCM equation.

GCF(32975,32980) = 5
LCM(32975,32980) = ( 32975 × 32980) / 5
LCM(32975,32980) = 1087515500 / 5
LCM(32975,32980) = 217503100

Least Common Multiple (LCM) of 32975 and 32980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32975 and 32980. First we will calculate the prime factors of 32975 and 32980.

Prime Factorization of 32975

Prime Factorization of 32980

Now multiplying the highest exponent prime factors to calculate the LCM of 32975 and 32980.

LCM(32975,32980) = 5² × 1319¹ × 2² × 17¹ × 97¹
LCM(32975,32980) = 217503100