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What is the Least Common Multiple of 3611 and 3615?

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 3611 and 3615 is 13053765.

LCM(3611,3615) = 13053765

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Least Common Multiple of 3611 and 3615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3611 and 3615, than apply into the LCM equation.

GCF(3611,3615) = 1
LCM(3611,3615) = ( 3611 × 3615) / 1
LCM(3611,3615) = 13053765 / 1
LCM(3611,3615) = 13053765

Least Common Multiple (LCM) of 3611 and 3615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3611 and 3615. First we will calculate the prime factors of 3611 and 3615.

Prime Factorization of 3611

Prime factors of 3611 are 23, 157. Prime factorization of 3611 in exponential form is:

3611 = 231 × 1571

Prime Factorization of 3615

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

3615 = 31 × 51 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3611 and 3615.

LCM(3611,3615) = 231 × 1571 × 31 × 51 × 2411
LCM(3611,3615) = 13053765