What is the Least Common Multiple of 95198 and 95210?

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 95198 and 95210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95198 and 95210, than apply into the LCM equation.

GCF(95198,95210) = 2
LCM(95198,95210) = ( 95198 × 95210) / 2
LCM(95198,95210) = 9063801580 / 2
LCM(95198,95210) = 4531900790

Least Common Multiple (LCM) of 95198 and 95210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95198 and 95210. First we will calculate the prime factors of 95198 and 95210.

Prime Factorization of 95198

Prime Factorization of 95210

Now multiplying the highest exponent prime factors to calculate the LCM of 95198 and 95210.

LCM(95198,95210) = 2¹ × 47599¹ × 5¹ × 9521¹
LCM(95198,95210) = 4531900790