What is the Least Common Multiple of 32927 and 32946?

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 32927 and 32946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32927 and 32946, than apply into the LCM equation.

GCF(32927,32946) = 19
LCM(32927,32946) = ( 32927 × 32946) / 19
LCM(32927,32946) = 1084812942 / 19
LCM(32927,32946) = 57095418

Least Common Multiple (LCM) of 32927 and 32946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32927 and 32946. First we will calculate the prime factors of 32927 and 32946.

Prime Factorization of 32927

Prime Factorization of 32946

Now multiplying the highest exponent prime factors to calculate the LCM of 32927 and 32946.

LCM(32927,32946) = 19¹ × 1733¹ × 2¹ × 3¹ × 17²
LCM(32927,32946) = 57095418