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What is the Least Common Multiple of 2741 and 2748?

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 2741 and 2748 is 7532268.

LCM(2741,2748) = 7532268

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Least Common Multiple of 2741 and 2748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2741 and 2748, than apply into the LCM equation.

GCF(2741,2748) = 1
LCM(2741,2748) = ( 2741 × 2748) / 1
LCM(2741,2748) = 7532268 / 1
LCM(2741,2748) = 7532268

Least Common Multiple (LCM) of 2741 and 2748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2741 and 2748. First we will calculate the prime factors of 2741 and 2748.

Prime Factorization of 2741

Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:

2741 = 27411

Prime Factorization of 2748

Prime factors of 2748 are 2, 3, 229. Prime factorization of 2748 in exponential form is:

2748 = 22 × 31 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 2741 and 2748.

LCM(2741,2748) = 27411 × 22 × 31 × 2291
LCM(2741,2748) = 7532268