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What is the Least Common Multiple of 3735 and 3745?

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 3735 and 3745 is 2797515.

LCM(3735,3745) = 2797515

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Least Common Multiple of 3735 and 3745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3735 and 3745, than apply into the LCM equation.

GCF(3735,3745) = 5
LCM(3735,3745) = ( 3735 × 3745) / 5
LCM(3735,3745) = 13987575 / 5
LCM(3735,3745) = 2797515

Least Common Multiple (LCM) of 3735 and 3745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3735 and 3745. First we will calculate the prime factors of 3735 and 3745.

Prime Factorization of 3735

Prime factors of 3735 are 3, 5, 83. Prime factorization of 3735 in exponential form is:

3735 = 32 × 51 × 831

Prime Factorization of 3745

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

3745 = 51 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3735 and 3745.

LCM(3735,3745) = 32 × 51 × 831 × 71 × 1071
LCM(3735,3745) = 2797515