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What is the Least Common Multiple of 2736 and 2747?

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 2747 is 7515792.

LCM(2736,2747) = 7515792

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Least Common Multiple of 2736 and 2747 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 2747, than apply into the LCM equation.

GCF(2736,2747) = 1
LCM(2736,2747) = ( 2736 × 2747) / 1
LCM(2736,2747) = 7515792 / 1
LCM(2736,2747) = 7515792

Least Common Multiple (LCM) of 2736 and 2747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2736 and 2747. First we will calculate the prime factors of 2736 and 2747.

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 2747

Prime factors of 2747 are 41, 67. Prime factorization of 2747 in exponential form is:

2747 = 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 2736 and 2747.

LCM(2736,2747) = 24 × 32 × 191 × 411 × 671
LCM(2736,2747) = 7515792