What is the Least Common Multiple of 2614 and 2629?

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 2614 and 2629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2614 and 2629, than apply into the LCM equation.

GCF(2614,2629) = 1
LCM(2614,2629) = ( 2614 × 2629) / 1
LCM(2614,2629) = 6872206 / 1
LCM(2614,2629) = 6872206

Least Common Multiple (LCM) of 2614 and 2629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2614 and 2629. First we will calculate the prime factors of 2614 and 2629.

Prime Factorization of 2614

Prime Factorization of 2629

Now multiplying the highest exponent prime factors to calculate the LCM of 2614 and 2629.

LCM(2614,2629) = 2¹ × 1307¹ × 11¹ × 239¹
LCM(2614,2629) = 6872206