What is the Least Common Multiple of 32973 and 32986?

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 32973 and 32986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32973 and 32986, than apply into the LCM equation.

GCF(32973,32986) = 1
LCM(32973,32986) = ( 32973 × 32986) / 1
LCM(32973,32986) = 1087647378 / 1
LCM(32973,32986) = 1087647378

Least Common Multiple (LCM) of 32973 and 32986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32973 and 32986. First we will calculate the prime factors of 32973 and 32986.

Prime Factorization of 32973

Prime Factorization of 32986

Now multiplying the highest exponent prime factors to calculate the LCM of 32973 and 32986.

LCM(32973,32986) = 3¹ × 29¹ × 379¹ × 2¹ × 16493¹
LCM(32973,32986) = 1087647378