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What is the Least Common Multiple of 3754 and 3760?

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 3754 and 3760 is 7057520.

LCM(3754,3760) = 7057520

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Least Common Multiple of 3754 and 3760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3754 and 3760, than apply into the LCM equation.

GCF(3754,3760) = 2
LCM(3754,3760) = ( 3754 × 3760) / 2
LCM(3754,3760) = 14115040 / 2
LCM(3754,3760) = 7057520

Least Common Multiple (LCM) of 3754 and 3760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3754 and 3760. First we will calculate the prime factors of 3754 and 3760.

Prime Factorization of 3754

Prime factors of 3754 are 2, 1877. Prime factorization of 3754 in exponential form is:

3754 = 21 × 18771

Prime Factorization of 3760

Prime factors of 3760 are 2, 5, 47. Prime factorization of 3760 in exponential form is:

3760 = 24 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3754 and 3760.

LCM(3754,3760) = 24 × 18771 × 51 × 471
LCM(3754,3760) = 7057520