GCF and LCM Calculator Logo

What is the Least Common Multiple of 2736 and 2743?

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 (LCM) of 2736 and 2743 is 7504848.

LCM(2736,2743) = 7504848

LCM Calculator and
and

Least Common Multiple of 2736 and 2743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2736 and 2743, than apply into the LCM equation.

GCF(2736,2743) = 1
LCM(2736,2743) = ( 2736 × 2743) / 1
LCM(2736,2743) = 7504848 / 1
LCM(2736,2743) = 7504848

Least Common Multiple (LCM) of 2736 and 2743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2736 and 2743. First we will calculate the prime factors of 2736 and 2743.

Prime Factorization of 2736

Prime factors of 2736 are 2, 3, 19. Prime factorization of 2736 in exponential form is:

2736 = 24 × 32 × 191

Prime Factorization of 2743

Prime factors of 2743 are 13, 211. Prime factorization of 2743 in exponential form is:

2743 = 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 2736 and 2743.

LCM(2736,2743) = 24 × 32 × 191 × 131 × 2111
LCM(2736,2743) = 7504848