What is the Least Common Multiple of 2685 and 2704?

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 2685 and 2704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2685 and 2704, than apply into the LCM equation.

GCF(2685,2704) = 1
LCM(2685,2704) = ( 2685 × 2704) / 1
LCM(2685,2704) = 7260240 / 1
LCM(2685,2704) = 7260240

Least Common Multiple (LCM) of 2685 and 2704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2685 and 2704. First we will calculate the prime factors of 2685 and 2704.

Prime Factorization of 2685

Prime Factorization of 2704

Now multiplying the highest exponent prime factors to calculate the LCM of 2685 and 2704.

LCM(2685,2704) = 3¹ × 5¹ × 179¹ × 2⁴ × 13²
LCM(2685,2704) = 7260240