What is the Least Common Multiple of 32946 and 32962?

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 32962 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 32962, than apply into the LCM equation.

GCF(32946,32962) = 2
LCM(32946,32962) = ( 32946 × 32962) / 2
LCM(32946,32962) = 1085966052 / 2
LCM(32946,32962) = 542983026

Least Common Multiple (LCM) of 32946 and 32962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32946 and 32962. First we will calculate the prime factors of 32946 and 32962.

Prime Factorization of 32946

Prime Factorization of 32962

Now multiplying the highest exponent prime factors to calculate the LCM of 32946 and 32962.

LCM(32946,32962) = 2¹ × 3¹ × 17² × 19¹ × 16481¹
LCM(32946,32962) = 542983026