What is the Least Common Multiple of 11688 and 11702?

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 11688 and 11702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11688 and 11702, than apply into the LCM equation.

GCF(11688,11702) = 2
LCM(11688,11702) = ( 11688 × 11702) / 2
LCM(11688,11702) = 136772976 / 2
LCM(11688,11702) = 68386488

Least Common Multiple (LCM) of 11688 and 11702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11688 and 11702. First we will calculate the prime factors of 11688 and 11702.

Prime Factorization of 11688

Prime Factorization of 11702

Now multiplying the highest exponent prime factors to calculate the LCM of 11688 and 11702.

LCM(11688,11702) = 2³ × 3¹ × 487¹ × 5851¹
LCM(11688,11702) = 68386488