What is the Least Common Multiple of 2679 and 2696?

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 2679 and 2696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2679 and 2696, than apply into the LCM equation.

GCF(2679,2696) = 1
LCM(2679,2696) = ( 2679 × 2696) / 1
LCM(2679,2696) = 7222584 / 1
LCM(2679,2696) = 7222584

Least Common Multiple (LCM) of 2679 and 2696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2679 and 2696. First we will calculate the prime factors of 2679 and 2696.

Prime Factorization of 2679

Prime Factorization of 2696

Now multiplying the highest exponent prime factors to calculate the LCM of 2679 and 2696.

LCM(2679,2696) = 3¹ × 19¹ × 47¹ × 2³ × 337¹
LCM(2679,2696) = 7222584