What is the Least Common Multiple of 97212 and 97230?

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 97212 and 97230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97212 and 97230, than apply into the LCM equation.

GCF(97212,97230) = 6
LCM(97212,97230) = ( 97212 × 97230) / 6
LCM(97212,97230) = 9451922760 / 6
LCM(97212,97230) = 1575320460

Least Common Multiple (LCM) of 97212 and 97230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97212 and 97230. First we will calculate the prime factors of 97212 and 97230.

Prime Factorization of 97212

Prime Factorization of 97230

Now multiplying the highest exponent prime factors to calculate the LCM of 97212 and 97230.

LCM(97212,97230) = 2² × 3¹ × 8101¹ × 5¹ × 7¹ × 463¹
LCM(97212,97230) = 1575320460