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What is the Least Common Multiple of 2748 and 2764?

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 2748 and 2764 is 1898868.

LCM(2748,2764) = 1898868

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Least Common Multiple of 2748 and 2764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2748 and 2764, than apply into the LCM equation.

GCF(2748,2764) = 4
LCM(2748,2764) = ( 2748 × 2764) / 4
LCM(2748,2764) = 7595472 / 4
LCM(2748,2764) = 1898868

Least Common Multiple (LCM) of 2748 and 2764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2748 and 2764. First we will calculate the prime factors of 2748 and 2764.

Prime Factorization of 2748

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

2748 = 22 × 31 × 2291

Prime Factorization of 2764

Prime factors of 2764 are 2, 691. Prime factorization of 2764 in exponential form is:

2764 = 22 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 2748 and 2764.

LCM(2748,2764) = 22 × 31 × 2291 × 6911
LCM(2748,2764) = 1898868