What is the Least Common Multiple of 2684 and 2693?

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 2684 and 2693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2684 and 2693, than apply into the LCM equation.

GCF(2684,2693) = 1
LCM(2684,2693) = ( 2684 × 2693) / 1
LCM(2684,2693) = 7228012 / 1
LCM(2684,2693) = 7228012

Least Common Multiple (LCM) of 2684 and 2693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2684 and 2693. First we will calculate the prime factors of 2684 and 2693.

Prime Factorization of 2684

Prime Factorization of 2693

Now multiplying the highest exponent prime factors to calculate the LCM of 2684 and 2693.

LCM(2684,2693) = 2² × 11¹ × 61¹ × 2693¹
LCM(2684,2693) = 7228012