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What is the Least Common Multiple of 2732 and 2749?

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 2732 and 2749 is 7510268.

LCM(2732,2749) = 7510268

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Least Common Multiple of 2732 and 2749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2732 and 2749, than apply into the LCM equation.

GCF(2732,2749) = 1
LCM(2732,2749) = ( 2732 × 2749) / 1
LCM(2732,2749) = 7510268 / 1
LCM(2732,2749) = 7510268

Least Common Multiple (LCM) of 2732 and 2749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2749. First we will calculate the prime factors of 2732 and 2749.

Prime Factorization of 2732

Prime factors of 2732 are 2, 683. Prime factorization of 2732 in exponential form is:

2732 = 22 × 6831

Prime Factorization of 2749

Prime factors of 2749 are 2749. Prime factorization of 2749 in exponential form is:

2749 = 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 2732 and 2749.

LCM(2732,2749) = 22 × 6831 × 27491
LCM(2732,2749) = 7510268