What is the Least Common Multiple of 45924 and 45942?

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 45924 and 45942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45924 and 45942, than apply into the LCM equation.

GCF(45924,45942) = 6
LCM(45924,45942) = ( 45924 × 45942) / 6
LCM(45924,45942) = 2109840408 / 6
LCM(45924,45942) = 351640068

Least Common Multiple (LCM) of 45924 and 45942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45924 and 45942. First we will calculate the prime factors of 45924 and 45942.

Prime Factorization of 45924

Prime Factorization of 45942

Now multiplying the highest exponent prime factors to calculate the LCM of 45924 and 45942.

LCM(45924,45942) = 2² × 3¹ × 43¹ × 89¹ × 13¹ × 19¹ × 31¹
LCM(45924,45942) = 351640068