What is the Least Common Multiple of 97198 and 97210?

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 97198 and 97210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97198 and 97210, than apply into the LCM equation.

GCF(97198,97210) = 2
LCM(97198,97210) = ( 97198 × 97210) / 2
LCM(97198,97210) = 9448617580 / 2
LCM(97198,97210) = 4724308790

Least Common Multiple (LCM) of 97198 and 97210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97198 and 97210. First we will calculate the prime factors of 97198 and 97210.

Prime Factorization of 97198

Prime Factorization of 97210

Now multiplying the highest exponent prime factors to calculate the LCM of 97198 and 97210.

LCM(97198,97210) = 2¹ × 23¹ × 2113¹ × 5¹ × 9721¹
LCM(97198,97210) = 4724308790