What is the Least Common Multiple of 32976 and 32991?

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 32976 and 32991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32976 and 32991, than apply into the LCM equation.

GCF(32976,32991) = 3
LCM(32976,32991) = ( 32976 × 32991) / 3
LCM(32976,32991) = 1087911216 / 3
LCM(32976,32991) = 362637072

Least Common Multiple (LCM) of 32976 and 32991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32976 and 32991. First we will calculate the prime factors of 32976 and 32991.

Prime Factorization of 32976

Prime Factorization of 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 32976 and 32991.

LCM(32976,32991) = 2⁴ × 3² × 229¹ × 7¹ × 1571¹
LCM(32976,32991) = 362637072