What is the Least Common Multiple of 97197 and 97206?

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 97197 and 97206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97197 and 97206, than apply into the LCM equation.

GCF(97197,97206) = 3
LCM(97197,97206) = ( 97197 × 97206) / 3
LCM(97197,97206) = 9448131582 / 3
LCM(97197,97206) = 3149377194

Least Common Multiple (LCM) of 97197 and 97206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97197 and 97206. First we will calculate the prime factors of 97197 and 97206.

Prime Factorization of 97197

Prime Factorization of 97206

Now multiplying the highest exponent prime factors to calculate the LCM of 97197 and 97206.

LCM(97197,97206) = 3¹ × 179¹ × 181¹ × 2¹ × 17¹ × 953¹
LCM(97197,97206) = 3149377194