What is the Least Common Multiple of 89124 and 89131?

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 89124 and 89131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89124 and 89131, than apply into the LCM equation.

GCF(89124,89131) = 7
LCM(89124,89131) = ( 89124 × 89131) / 7
LCM(89124,89131) = 7943711244 / 7
LCM(89124,89131) = 1134815892

Least Common Multiple (LCM) of 89124 and 89131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89124 and 89131. First we will calculate the prime factors of 89124 and 89131.

Prime Factorization of 89124

Prime Factorization of 89131

Now multiplying the highest exponent prime factors to calculate the LCM of 89124 and 89131.

LCM(89124,89131) = 2² × 3¹ × 7² × 1061¹ × 17¹ × 107¹
LCM(89124,89131) = 1134815892