What is the Least Common Multiple of 86198 and 86210?

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 86198 and 86210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86198 and 86210, than apply into the LCM equation.

GCF(86198,86210) = 2
LCM(86198,86210) = ( 86198 × 86210) / 2
LCM(86198,86210) = 7431129580 / 2
LCM(86198,86210) = 3715564790

Least Common Multiple (LCM) of 86198 and 86210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86198 and 86210. First we will calculate the prime factors of 86198 and 86210.

Prime Factorization of 86198

Prime Factorization of 86210

Now multiplying the highest exponent prime factors to calculate the LCM of 86198 and 86210.

LCM(86198,86210) = 2¹ × 7¹ × 47¹ × 131¹ × 5¹ × 37¹ × 233¹
LCM(86198,86210) = 3715564790