What is the Least Common Multiple of 97170 and 97188?

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 97170 and 97188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97170 and 97188, than apply into the LCM equation.

GCF(97170,97188) = 6
LCM(97170,97188) = ( 97170 × 97188) / 6
LCM(97170,97188) = 9443757960 / 6
LCM(97170,97188) = 1573959660

Least Common Multiple (LCM) of 97170 and 97188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97170 and 97188. First we will calculate the prime factors of 97170 and 97188.

Prime Factorization of 97170

Prime Factorization of 97188

Now multiplying the highest exponent prime factors to calculate the LCM of 97170 and 97188.

LCM(97170,97188) = 2² × 3¹ × 5¹ × 41¹ × 79¹ × 7¹ × 13¹ × 89¹
LCM(97170,97188) = 1573959660