What is the Least Common Multiple of 89180 and 89194?

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 89180 and 89194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89180 and 89194, than apply into the LCM equation.

GCF(89180,89194) = 14
LCM(89180,89194) = ( 89180 × 89194) / 14
LCM(89180,89194) = 7954320920 / 14
LCM(89180,89194) = 568165780

Least Common Multiple (LCM) of 89180 and 89194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89180 and 89194. First we will calculate the prime factors of 89180 and 89194.

Prime Factorization of 89180

Prime Factorization of 89194

Now multiplying the highest exponent prime factors to calculate the LCM of 89180 and 89194.

LCM(89180,89194) = 2² × 5¹ × 7³ × 13¹ × 23¹ × 277¹
LCM(89180,89194) = 568165780