What is the Least Common Multiple of 89130 and 89144?

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 89130 and 89144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89130 and 89144, than apply into the LCM equation.

GCF(89130,89144) = 2
LCM(89130,89144) = ( 89130 × 89144) / 2
LCM(89130,89144) = 7945404720 / 2
LCM(89130,89144) = 3972702360

Least Common Multiple (LCM) of 89130 and 89144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89130 and 89144. First we will calculate the prime factors of 89130 and 89144.

Prime Factorization of 89130

Prime Factorization of 89144

Now multiplying the highest exponent prime factors to calculate the LCM of 89130 and 89144.

LCM(89130,89144) = 2³ × 3¹ × 5¹ × 2971¹ × 11¹ × 1013¹
LCM(89130,89144) = 3972702360