What is the Least Common Multiple of 89174 and 89180?

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 89174 and 89180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89174 and 89180, than apply into the LCM equation.

GCF(89174,89180) = 2
LCM(89174,89180) = ( 89174 × 89180) / 2
LCM(89174,89180) = 7952537320 / 2
LCM(89174,89180) = 3976268660

Least Common Multiple (LCM) of 89174 and 89180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89174 and 89180. First we will calculate the prime factors of 89174 and 89180.

Prime Factorization of 89174

Prime Factorization of 89180

Now multiplying the highest exponent prime factors to calculate the LCM of 89174 and 89180.

LCM(89174,89180) = 2² × 44587¹ × 5¹ × 7³ × 13¹
LCM(89174,89180) = 3976268660