What is the Least Common Multiple of 96702 and 96714?

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 96702 and 96714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96702 and 96714, than apply into the LCM equation.

GCF(96702,96714) = 6
LCM(96702,96714) = ( 96702 × 96714) / 6
LCM(96702,96714) = 9352437228 / 6
LCM(96702,96714) = 1558739538

Least Common Multiple (LCM) of 96702 and 96714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96702 and 96714. First we will calculate the prime factors of 96702 and 96714.

Prime Factorization of 96702

Prime Factorization of 96714

Now multiplying the highest exponent prime factors to calculate the LCM of 96702 and 96714.

LCM(96702,96714) = 2¹ × 3⁵ × 71¹ × 227¹ × 199¹
LCM(96702,96714) = 1558739538