What is the Least Common Multiple of 45114 and 45132?

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 45114 and 45132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45114 and 45132, than apply into the LCM equation.

GCF(45114,45132) = 6
LCM(45114,45132) = ( 45114 × 45132) / 6
LCM(45114,45132) = 2036085048 / 6
LCM(45114,45132) = 339347508

Least Common Multiple (LCM) of 45114 and 45132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45114 and 45132. First we will calculate the prime factors of 45114 and 45132.

Prime Factorization of 45114

Prime Factorization of 45132

Now multiplying the highest exponent prime factors to calculate the LCM of 45114 and 45132.

LCM(45114,45132) = 2² × 3¹ × 73¹ × 103¹ × 3761¹
LCM(45114,45132) = 339347508