What is the Least Common Multiple of 57932 and 57942?

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 57932 and 57942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57932 and 57942, than apply into the LCM equation.

GCF(57932,57942) = 2
LCM(57932,57942) = ( 57932 × 57942) / 2
LCM(57932,57942) = 3356695944 / 2
LCM(57932,57942) = 1678347972

Least Common Multiple (LCM) of 57932 and 57942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57932 and 57942. First we will calculate the prime factors of 57932 and 57942.

Prime Factorization of 57932

Prime Factorization of 57942

Now multiplying the highest exponent prime factors to calculate the LCM of 57932 and 57942.

LCM(57932,57942) = 2² × 7¹ × 2069¹ × 3³ × 29¹ × 37¹
LCM(57932,57942) = 1678347972