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What is the Least Common Multiple of 3751 and 3758?

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 3751 and 3758 is 14096258.

LCM(3751,3758) = 14096258

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Least Common Multiple of 3751 and 3758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3751 and 3758, than apply into the LCM equation.

GCF(3751,3758) = 1
LCM(3751,3758) = ( 3751 × 3758) / 1
LCM(3751,3758) = 14096258 / 1
LCM(3751,3758) = 14096258

Least Common Multiple (LCM) of 3751 and 3758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3751 and 3758. First we will calculate the prime factors of 3751 and 3758.

Prime Factorization of 3751

Prime factors of 3751 are 11, 31. Prime factorization of 3751 in exponential form is:

3751 = 112 × 311

Prime Factorization of 3758

Prime factors of 3758 are 2, 1879. Prime factorization of 3758 in exponential form is:

3758 = 21 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 3751 and 3758.

LCM(3751,3758) = 112 × 311 × 21 × 18791
LCM(3751,3758) = 14096258