What is the Least Common Multiple of 2692 and 2699?

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 2692 and 2699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2692 and 2699, than apply into the LCM equation.

GCF(2692,2699) = 1
LCM(2692,2699) = ( 2692 × 2699) / 1
LCM(2692,2699) = 7265708 / 1
LCM(2692,2699) = 7265708

Least Common Multiple (LCM) of 2692 and 2699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2699. First we will calculate the prime factors of 2692 and 2699.

Prime Factorization of 2692

Prime Factorization of 2699

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2699.

LCM(2692,2699) = 2² × 673¹ × 2699¹
LCM(2692,2699) = 7265708