What is the Least Common Multiple of 50932 and 50942?

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 50932 and 50942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50932 and 50942, than apply into the LCM equation.

GCF(50932,50942) = 2
LCM(50932,50942) = ( 50932 × 50942) / 2
LCM(50932,50942) = 2594577944 / 2
LCM(50932,50942) = 1297288972

Least Common Multiple (LCM) of 50932 and 50942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50932 and 50942. First we will calculate the prime factors of 50932 and 50942.

Prime Factorization of 50932

Prime Factorization of 50942

Now multiplying the highest exponent prime factors to calculate the LCM of 50932 and 50942.

LCM(50932,50942) = 2² × 7¹ × 17¹ × 107¹ × 25471¹
LCM(50932,50942) = 1297288972