What is the Least Common Multiple of 88170 and 88188?

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 88170 and 88188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88170 and 88188, than apply into the LCM equation.

GCF(88170,88188) = 6
LCM(88170,88188) = ( 88170 × 88188) / 6
LCM(88170,88188) = 7775535960 / 6
LCM(88170,88188) = 1295922660

Least Common Multiple (LCM) of 88170 and 88188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88170 and 88188. First we will calculate the prime factors of 88170 and 88188.

Prime Factorization of 88170

Prime Factorization of 88188

Now multiplying the highest exponent prime factors to calculate the LCM of 88170 and 88188.

LCM(88170,88188) = 2² × 3¹ × 5¹ × 2939¹ × 7349¹
LCM(88170,88188) = 1295922660