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What is the Least Common Multiple of 3645 and 3649?

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 3645 and 3649 is 13300605.

LCM(3645,3649) = 13300605

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Least Common Multiple of 3645 and 3649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3645 and 3649, than apply into the LCM equation.

GCF(3645,3649) = 1
LCM(3645,3649) = ( 3645 × 3649) / 1
LCM(3645,3649) = 13300605 / 1
LCM(3645,3649) = 13300605

Least Common Multiple (LCM) of 3645 and 3649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3645 and 3649. First we will calculate the prime factors of 3645 and 3649.

Prime Factorization of 3645

Prime factors of 3645 are 3, 5. Prime factorization of 3645 in exponential form is:

3645 = 36 × 51

Prime Factorization of 3649

Prime factors of 3649 are 41, 89. Prime factorization of 3649 in exponential form is:

3649 = 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3645 and 3649.

LCM(3645,3649) = 36 × 51 × 411 × 891
LCM(3645,3649) = 13300605