What is the Least Common Multiple of 2654 and 2673?

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 2654 and 2673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2654 and 2673, than apply into the LCM equation.

GCF(2654,2673) = 1
LCM(2654,2673) = ( 2654 × 2673) / 1
LCM(2654,2673) = 7094142 / 1
LCM(2654,2673) = 7094142

Least Common Multiple (LCM) of 2654 and 2673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2654 and 2673. First we will calculate the prime factors of 2654 and 2673.

Prime Factorization of 2654

Prime Factorization of 2673

Now multiplying the highest exponent prime factors to calculate the LCM of 2654 and 2673.

LCM(2654,2673) = 2¹ × 1327¹ × 3⁵ × 11¹
LCM(2654,2673) = 7094142