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What is the Least Common Multiple of 55649 and 55665?

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 55649 and 55665 is 3097701585.

LCM(55649,55665) = 3097701585

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Least Common Multiple of 55649 and 55665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55649 and 55665, than apply into the LCM equation.

GCF(55649,55665) = 1
LCM(55649,55665) = ( 55649 × 55665) / 1
LCM(55649,55665) = 3097701585 / 1
LCM(55649,55665) = 3097701585

Least Common Multiple (LCM) of 55649 and 55665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55649 and 55665. First we will calculate the prime factors of 55649 and 55665.

Prime Factorization of 55649

Prime factors of 55649 are 11, 5059. Prime factorization of 55649 in exponential form is:

55649 = 111 × 50591

Prime Factorization of 55665

Prime factors of 55665 are 3, 5, 1237. Prime factorization of 55665 in exponential form is:

55665 = 32 × 51 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 55649 and 55665.

LCM(55649,55665) = 111 × 50591 × 32 × 51 × 12371
LCM(55649,55665) = 3097701585