What is the Least Common Multiple of 45918 and 45936?

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 45918 and 45936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45918 and 45936, than apply into the LCM equation.

GCF(45918,45936) = 18
LCM(45918,45936) = ( 45918 × 45936) / 18
LCM(45918,45936) = 2109289248 / 18
LCM(45918,45936) = 117182736

Least Common Multiple (LCM) of 45918 and 45936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45918 and 45936. First we will calculate the prime factors of 45918 and 45936.

Prime Factorization of 45918

Prime Factorization of 45936

Now multiplying the highest exponent prime factors to calculate the LCM of 45918 and 45936.

LCM(45918,45936) = 2⁴ × 3² × 2551¹ × 11¹ × 29¹
LCM(45918,45936) = 117182736