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What is the Least Common Multiple of 3630 and 3647?

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 3630 and 3647 is 13238610.

LCM(3630,3647) = 13238610

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Least Common Multiple of 3630 and 3647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3630 and 3647, than apply into the LCM equation.

GCF(3630,3647) = 1
LCM(3630,3647) = ( 3630 × 3647) / 1
LCM(3630,3647) = 13238610 / 1
LCM(3630,3647) = 13238610

Least Common Multiple (LCM) of 3630 and 3647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3630 and 3647. First we will calculate the prime factors of 3630 and 3647.

Prime Factorization of 3630

Prime factors of 3630 are 2, 3, 5, 11. Prime factorization of 3630 in exponential form is:

3630 = 21 × 31 × 51 × 112

Prime Factorization of 3647

Prime factors of 3647 are 7, 521. Prime factorization of 3647 in exponential form is:

3647 = 71 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 3630 and 3647.

LCM(3630,3647) = 21 × 31 × 51 × 112 × 71 × 5211
LCM(3630,3647) = 13238610