What is the Least Common Multiple of 36942 and 36946?

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 36942 and 36946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36942 and 36946, than apply into the LCM equation.

GCF(36942,36946) = 2
LCM(36942,36946) = ( 36942 × 36946) / 2
LCM(36942,36946) = 1364859132 / 2
LCM(36942,36946) = 682429566

Least Common Multiple (LCM) of 36942 and 36946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36942 and 36946. First we will calculate the prime factors of 36942 and 36946.

Prime Factorization of 36942

Prime Factorization of 36946

Now multiplying the highest exponent prime factors to calculate the LCM of 36942 and 36946.

LCM(36942,36946) = 2¹ × 3¹ × 47¹ × 131¹ × 7² × 13¹ × 29¹
LCM(36942,36946) = 682429566