What is the Least Common Multiple of 3088 and 3108?

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 3088 and 3108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3088 and 3108, than apply into the LCM equation.

GCF(3088,3108) = 4
LCM(3088,3108) = ( 3088 × 3108) / 4
LCM(3088,3108) = 9597504 / 4
LCM(3088,3108) = 2399376

Least Common Multiple (LCM) of 3088 and 3108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3088 and 3108. First we will calculate the prime factors of 3088 and 3108.

Prime Factorization of 3088

Prime Factorization of 3108

Now multiplying the highest exponent prime factors to calculate the LCM of 3088 and 3108.

LCM(3088,3108) = 2⁴ × 193¹ × 3¹ × 7¹ × 37¹
LCM(3088,3108) = 2399376