What is the Least Common Multiple of 73932 and 73946?

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 73932 and 73946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73932 and 73946, than apply into the LCM equation.

GCF(73932,73946) = 2
LCM(73932,73946) = ( 73932 × 73946) / 2
LCM(73932,73946) = 5466975672 / 2
LCM(73932,73946) = 2733487836

Least Common Multiple (LCM) of 73932 and 73946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73932 and 73946. First we will calculate the prime factors of 73932 and 73946.

Prime Factorization of 73932

Prime Factorization of 73946

Now multiplying the highest exponent prime factors to calculate the LCM of 73932 and 73946.

LCM(73932,73946) = 2² × 3¹ × 61¹ × 101¹ × 36973¹
LCM(73932,73946) = 2733487836