What is the Least Common Multiple of 69688 and 69702?

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 69688 and 69702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69688 and 69702, than apply into the LCM equation.

GCF(69688,69702) = 2
LCM(69688,69702) = ( 69688 × 69702) / 2
LCM(69688,69702) = 4857392976 / 2
LCM(69688,69702) = 2428696488

Least Common Multiple (LCM) of 69688 and 69702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69688 and 69702. First we will calculate the prime factors of 69688 and 69702.

Prime Factorization of 69688

Prime Factorization of 69702

Now multiplying the highest exponent prime factors to calculate the LCM of 69688 and 69702.

LCM(69688,69702) = 2³ × 31¹ × 281¹ × 3¹ × 11617¹
LCM(69688,69702) = 2428696488