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What is the Least Common Multiple of 3648 and 3665?

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 3648 and 3665 is 13369920.

LCM(3648,3665) = 13369920

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Least Common Multiple of 3648 and 3665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3648 and 3665, than apply into the LCM equation.

GCF(3648,3665) = 1
LCM(3648,3665) = ( 3648 × 3665) / 1
LCM(3648,3665) = 13369920 / 1
LCM(3648,3665) = 13369920

Least Common Multiple (LCM) of 3648 and 3665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3648 and 3665. First we will calculate the prime factors of 3648 and 3665.

Prime Factorization of 3648

Prime factors of 3648 are 2, 3, 19. Prime factorization of 3648 in exponential form is:

3648 = 26 × 31 × 191

Prime Factorization of 3665

Prime factors of 3665 are 5, 733. Prime factorization of 3665 in exponential form is:

3665 = 51 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 3648 and 3665.

LCM(3648,3665) = 26 × 31 × 191 × 51 × 7331
LCM(3648,3665) = 13369920