What is the Least Common Multiple of 32946 and 32958?

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 32946 and 32958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32946 and 32958, than apply into the LCM equation.

GCF(32946,32958) = 6
LCM(32946,32958) = ( 32946 × 32958) / 6
LCM(32946,32958) = 1085834268 / 6
LCM(32946,32958) = 180972378

Least Common Multiple (LCM) of 32946 and 32958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32946 and 32958. First we will calculate the prime factors of 32946 and 32958.

Prime Factorization of 32946

Prime Factorization of 32958

Now multiplying the highest exponent prime factors to calculate the LCM of 32946 and 32958.

LCM(32946,32958) = 2¹ × 3² × 17² × 19¹ × 1831¹
LCM(32946,32958) = 180972378