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What is the Least Common Multiple of 2745 and 2756?

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 2745 and 2756 is 7565220.

LCM(2745,2756) = 7565220

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Least Common Multiple of 2745 and 2756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2745 and 2756, than apply into the LCM equation.

GCF(2745,2756) = 1
LCM(2745,2756) = ( 2745 × 2756) / 1
LCM(2745,2756) = 7565220 / 1
LCM(2745,2756) = 7565220

Least Common Multiple (LCM) of 2745 and 2756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2756. First we will calculate the prime factors of 2745 and 2756.

Prime Factorization of 2745

Prime factors of 2745 are 3, 5, 61. Prime factorization of 2745 in exponential form is:

2745 = 32 × 51 × 611

Prime Factorization of 2756

Prime factors of 2756 are 2, 13, 53. Prime factorization of 2756 in exponential form is:

2756 = 22 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2756.

LCM(2745,2756) = 32 × 51 × 611 × 22 × 131 × 531
LCM(2745,2756) = 7565220