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What is the Least Common Multiple of 3745 and 3762?

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 3745 and 3762 is 14088690.

LCM(3745,3762) = 14088690

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Least Common Multiple of 3745 and 3762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3745 and 3762, than apply into the LCM equation.

GCF(3745,3762) = 1
LCM(3745,3762) = ( 3745 × 3762) / 1
LCM(3745,3762) = 14088690 / 1
LCM(3745,3762) = 14088690

Least Common Multiple (LCM) of 3745 and 3762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3745 and 3762. First we will calculate the prime factors of 3745 and 3762.

Prime Factorization of 3745

Prime factors of 3745 are 5, 7, 107. Prime factorization of 3745 in exponential form is:

3745 = 51 × 71 × 1071

Prime Factorization of 3762

Prime factors of 3762 are 2, 3, 11, 19. Prime factorization of 3762 in exponential form is:

3762 = 21 × 32 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3745 and 3762.

LCM(3745,3762) = 51 × 71 × 1071 × 21 × 32 × 111 × 191
LCM(3745,3762) = 14088690