What is the Least Common Multiple of 2900 and 2908?

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 2900 and 2908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2900 and 2908, than apply into the LCM equation.

GCF(2900,2908) = 4
LCM(2900,2908) = ( 2900 × 2908) / 4
LCM(2900,2908) = 8433200 / 4
LCM(2900,2908) = 2108300

Least Common Multiple (LCM) of 2900 and 2908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2908. First we will calculate the prime factors of 2900 and 2908.

Prime Factorization of 2900

Prime Factorization of 2908

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2908.

LCM(2900,2908) = 2² × 5² × 29¹ × 727¹
LCM(2900,2908) = 2108300