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What is the Least Common Multiple of 2752 and 2762?

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 2752 and 2762 is 3800512.

LCM(2752,2762) = 3800512

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Least Common Multiple of 2752 and 2762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2752 and 2762, than apply into the LCM equation.

GCF(2752,2762) = 2
LCM(2752,2762) = ( 2752 × 2762) / 2
LCM(2752,2762) = 7601024 / 2
LCM(2752,2762) = 3800512

Least Common Multiple (LCM) of 2752 and 2762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2752 and 2762. First we will calculate the prime factors of 2752 and 2762.

Prime Factorization of 2752

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

2752 = 26 × 431

Prime Factorization of 2762

Prime factors of 2762 are 2, 1381. Prime factorization of 2762 in exponential form is:

2762 = 21 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 2752 and 2762.

LCM(2752,2762) = 26 × 431 × 13811
LCM(2752,2762) = 3800512