What is the Least Common Multiple of 11688 and 11708?

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 11708 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 11708, than apply into the LCM equation.

GCF(11688,11708) = 4
LCM(11688,11708) = ( 11688 × 11708) / 4
LCM(11688,11708) = 136843104 / 4
LCM(11688,11708) = 34210776

Least Common Multiple (LCM) of 11688 and 11708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11688 and 11708. First we will calculate the prime factors of 11688 and 11708.

Prime Factorization of 11688

Prime Factorization of 11708

Now multiplying the highest exponent prime factors to calculate the LCM of 11688 and 11708.

LCM(11688,11708) = 2³ × 3¹ × 487¹ × 2927¹
LCM(11688,11708) = 34210776