What is the Least Common Multiple of 2900 and 2906?

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 2906 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 2906, than apply into the LCM equation.

GCF(2900,2906) = 2
LCM(2900,2906) = ( 2900 × 2906) / 2
LCM(2900,2906) = 8427400 / 2
LCM(2900,2906) = 4213700

Least Common Multiple (LCM) of 2900 and 2906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2906. First we will calculate the prime factors of 2900 and 2906.

Prime Factorization of 2900

Prime Factorization of 2906

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2906.

LCM(2900,2906) = 2² × 5² × 29¹ × 1453¹
LCM(2900,2906) = 4213700