What is the Least Common Multiple of 2834 and 2844?

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 2834 and 2844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2834 and 2844, than apply into the LCM equation.

GCF(2834,2844) = 2
LCM(2834,2844) = ( 2834 × 2844) / 2
LCM(2834,2844) = 8059896 / 2
LCM(2834,2844) = 4029948

Least Common Multiple (LCM) of 2834 and 2844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2834 and 2844. First we will calculate the prime factors of 2834 and 2844.

Prime Factorization of 2834

Prime Factorization of 2844

Now multiplying the highest exponent prime factors to calculate the LCM of 2834 and 2844.

LCM(2834,2844) = 2² × 13¹ × 109¹ × 3² × 79¹
LCM(2834,2844) = 4029948