What is the Least Common Multiple of 8932 and 8942?

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 8932 and 8942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8932 and 8942, than apply into the LCM equation.

GCF(8932,8942) = 2
LCM(8932,8942) = ( 8932 × 8942) / 2
LCM(8932,8942) = 79869944 / 2
LCM(8932,8942) = 39934972

Least Common Multiple (LCM) of 8932 and 8942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8942. First we will calculate the prime factors of 8932 and 8942.

Prime Factorization of 8932

Prime Factorization of 8942

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8942.

LCM(8932,8942) = 2² × 7¹ × 11¹ × 29¹ × 17¹ × 263¹
LCM(8932,8942) = 39934972