What is the Least Common Multiple of 90132 and 90138?

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 90132 and 90138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90132 and 90138, than apply into the LCM equation.

GCF(90132,90138) = 6
LCM(90132,90138) = ( 90132 × 90138) / 6
LCM(90132,90138) = 8124318216 / 6
LCM(90132,90138) = 1354053036

Least Common Multiple (LCM) of 90132 and 90138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90132 and 90138. First we will calculate the prime factors of 90132 and 90138.

Prime Factorization of 90132

Prime Factorization of 90138

Now multiplying the highest exponent prime factors to calculate the LCM of 90132 and 90138.

LCM(90132,90138) = 2² × 3¹ × 7¹ × 29¹ × 37¹ × 83¹ × 181¹
LCM(90132,90138) = 1354053036