What is the Least Common Multiple of 45132 and 45140?

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 45132 and 45140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45132 and 45140, than apply into the LCM equation.

GCF(45132,45140) = 4
LCM(45132,45140) = ( 45132 × 45140) / 4
LCM(45132,45140) = 2037258480 / 4
LCM(45132,45140) = 509314620

Least Common Multiple (LCM) of 45132 and 45140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45132 and 45140. First we will calculate the prime factors of 45132 and 45140.

Prime Factorization of 45132

Prime Factorization of 45140

Now multiplying the highest exponent prime factors to calculate the LCM of 45132 and 45140.

LCM(45132,45140) = 2² × 3¹ × 3761¹ × 5¹ × 37¹ × 61¹
LCM(45132,45140) = 509314620