What is the Least Common Multiple of 2691 and 2701?

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 2691 and 2701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2691 and 2701, than apply into the LCM equation.

GCF(2691,2701) = 1
LCM(2691,2701) = ( 2691 × 2701) / 1
LCM(2691,2701) = 7268391 / 1
LCM(2691,2701) = 7268391

Least Common Multiple (LCM) of 2691 and 2701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2691 and 2701. First we will calculate the prime factors of 2691 and 2701.

Prime Factorization of 2691

Prime Factorization of 2701

Now multiplying the highest exponent prime factors to calculate the LCM of 2691 and 2701.

LCM(2691,2701) = 3² × 13¹ × 23¹ × 37¹ × 73¹
LCM(2691,2701) = 7268391