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What is the Least Common Multiple of 2746 and 2752?

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 2746 and 2752 is 3778496.

LCM(2746,2752) = 3778496

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Least Common Multiple of 2746 and 2752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2746 and 2752, than apply into the LCM equation.

GCF(2746,2752) = 2
LCM(2746,2752) = ( 2746 × 2752) / 2
LCM(2746,2752) = 7556992 / 2
LCM(2746,2752) = 3778496

Least Common Multiple (LCM) of 2746 and 2752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2746 and 2752. First we will calculate the prime factors of 2746 and 2752.

Prime Factorization of 2746

Prime factors of 2746 are 2, 1373. Prime factorization of 2746 in exponential form is:

2746 = 21 × 13731

Prime Factorization of 2752

Prime factors of 2752 are 2, 43. Prime factorization of 2752 in exponential form is:

2752 = 26 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2746 and 2752.

LCM(2746,2752) = 26 × 13731 × 431
LCM(2746,2752) = 3778496