What is the Least Common Multiple of 38932 and 38946?

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 38932 and 38946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38932 and 38946, than apply into the LCM equation.

GCF(38932,38946) = 2
LCM(38932,38946) = ( 38932 × 38946) / 2
LCM(38932,38946) = 1516245672 / 2
LCM(38932,38946) = 758122836

Least Common Multiple (LCM) of 38932 and 38946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38932 and 38946. First we will calculate the prime factors of 38932 and 38946.

Prime Factorization of 38932

Prime Factorization of 38946

Now multiplying the highest exponent prime factors to calculate the LCM of 38932 and 38946.

LCM(38932,38946) = 2² × 9733¹ × 3¹ × 6491¹
LCM(38932,38946) = 758122836