What is the Least Common Multiple of 69180 and 69198?

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 69180 and 69198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69180 and 69198, than apply into the LCM equation.

GCF(69180,69198) = 6
LCM(69180,69198) = ( 69180 × 69198) / 6
LCM(69180,69198) = 4787117640 / 6
LCM(69180,69198) = 797852940

Least Common Multiple (LCM) of 69180 and 69198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69180 and 69198. First we will calculate the prime factors of 69180 and 69198.

Prime Factorization of 69180

Prime Factorization of 69198

Now multiplying the highest exponent prime factors to calculate the LCM of 69180 and 69198.

LCM(69180,69198) = 2² × 3¹ × 5¹ × 1153¹ × 19¹ × 607¹
LCM(69180,69198) = 797852940