What is the Least Common Multiple of 2634 and 2642?

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 2634 and 2642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2634 and 2642, than apply into the LCM equation.

GCF(2634,2642) = 2
LCM(2634,2642) = ( 2634 × 2642) / 2
LCM(2634,2642) = 6959028 / 2
LCM(2634,2642) = 3479514

Least Common Multiple (LCM) of 2634 and 2642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2634 and 2642. First we will calculate the prime factors of 2634 and 2642.

Prime Factorization of 2634

Prime Factorization of 2642

Now multiplying the highest exponent prime factors to calculate the LCM of 2634 and 2642.

LCM(2634,2642) = 2¹ × 3¹ × 439¹ × 1321¹
LCM(2634,2642) = 3479514