What is the Least Common Multiple of 97188 and 97197?

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 97188 and 97197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97188 and 97197, than apply into the LCM equation.

GCF(97188,97197) = 3
LCM(97188,97197) = ( 97188 × 97197) / 3
LCM(97188,97197) = 9446382036 / 3
LCM(97188,97197) = 3148794012

Least Common Multiple (LCM) of 97188 and 97197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97188 and 97197. First we will calculate the prime factors of 97188 and 97197.

Prime Factorization of 97188

Prime Factorization of 97197

Now multiplying the highest exponent prime factors to calculate the LCM of 97188 and 97197.

LCM(97188,97197) = 2² × 3¹ × 7¹ × 13¹ × 89¹ × 179¹ × 181¹
LCM(97188,97197) = 3148794012