What is the Least Common Multiple of 2638 and 2654?

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 2638 and 2654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2638 and 2654, than apply into the LCM equation.

GCF(2638,2654) = 2
LCM(2638,2654) = ( 2638 × 2654) / 2
LCM(2638,2654) = 7001252 / 2
LCM(2638,2654) = 3500626

Least Common Multiple (LCM) of 2638 and 2654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2638 and 2654. First we will calculate the prime factors of 2638 and 2654.

Prime Factorization of 2638

Prime Factorization of 2654

Now multiplying the highest exponent prime factors to calculate the LCM of 2638 and 2654.

LCM(2638,2654) = 2¹ × 1319¹ × 1327¹
LCM(2638,2654) = 3500626