What is the Least Common Multiple of 70696 and 70702?

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 70696 and 70702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70696 and 70702, than apply into the LCM equation.

GCF(70696,70702) = 2
LCM(70696,70702) = ( 70696 × 70702) / 2
LCM(70696,70702) = 4998348592 / 2
LCM(70696,70702) = 2499174296

Least Common Multiple (LCM) of 70696 and 70702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70696 and 70702. First we will calculate the prime factors of 70696 and 70702.

Prime Factorization of 70696

Prime Factorization of 70702

Now multiplying the highest exponent prime factors to calculate the LCM of 70696 and 70702.

LCM(70696,70702) = 2³ × 8837¹ × 23¹ × 29¹ × 53¹
LCM(70696,70702) = 2499174296