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What is the Least Common Multiple of 3615 and 3619?

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 3615 and 3619 is 13082685.

LCM(3615,3619) = 13082685

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Least Common Multiple of 3615 and 3619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3615 and 3619, than apply into the LCM equation.

GCF(3615,3619) = 1
LCM(3615,3619) = ( 3615 × 3619) / 1
LCM(3615,3619) = 13082685 / 1
LCM(3615,3619) = 13082685

Least Common Multiple (LCM) of 3615 and 3619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3615 and 3619. First we will calculate the prime factors of 3615 and 3619.

Prime Factorization of 3615

Prime factors of 3615 are 3, 5, 241. Prime factorization of 3615 in exponential form is:

3615 = 31 × 51 × 2411

Prime Factorization of 3619

Prime factors of 3619 are 7, 11, 47. Prime factorization of 3619 in exponential form is:

3619 = 71 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3615 and 3619.

LCM(3615,3619) = 31 × 51 × 2411 × 71 × 111 × 471
LCM(3615,3619) = 13082685