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What is the Least Common Multiple of 5649 and 5665?

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 5649 and 5665 is 32001585.

LCM(5649,5665) = 32001585

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Least Common Multiple of 5649 and 5665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5649 and 5665, than apply into the LCM equation.

GCF(5649,5665) = 1
LCM(5649,5665) = ( 5649 × 5665) / 1
LCM(5649,5665) = 32001585 / 1
LCM(5649,5665) = 32001585

Least Common Multiple (LCM) of 5649 and 5665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5649 and 5665. First we will calculate the prime factors of 5649 and 5665.

Prime Factorization of 5649

Prime factors of 5649 are 3, 7, 269. Prime factorization of 5649 in exponential form is:

5649 = 31 × 71 × 2691

Prime Factorization of 5665

Prime factors of 5665 are 5, 11, 103. Prime factorization of 5665 in exponential form is:

5665 = 51 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5649 and 5665.

LCM(5649,5665) = 31 × 71 × 2691 × 51 × 111 × 1031
LCM(5649,5665) = 32001585