What is the Least Common Multiple of 96702 and 96707?

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 96707 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 96707, than apply into the LCM equation.

GCF(96702,96707) = 1
LCM(96702,96707) = ( 96702 × 96707) / 1
LCM(96702,96707) = 9351760314 / 1
LCM(96702,96707) = 9351760314

Least Common Multiple (LCM) of 96702 and 96707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96702 and 96707. First we will calculate the prime factors of 96702 and 96707.

Prime Factorization of 96702

Prime Factorization of 96707

Now multiplying the highest exponent prime factors to calculate the LCM of 96702 and 96707.

LCM(96702,96707) = 2¹ × 3¹ × 71¹ × 227¹ × 13¹ × 43¹ × 173¹
LCM(96702,96707) = 9351760314