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What is the Least Common Multiple of 55645 and 55661?

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 55645 and 55661 is 3097256345.

LCM(55645,55661) = 3097256345

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Least Common Multiple of 55645 and 55661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55645 and 55661, than apply into the LCM equation.

GCF(55645,55661) = 1
LCM(55645,55661) = ( 55645 × 55661) / 1
LCM(55645,55661) = 3097256345 / 1
LCM(55645,55661) = 3097256345

Least Common Multiple (LCM) of 55645 and 55661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55645 and 55661. First we will calculate the prime factors of 55645 and 55661.

Prime Factorization of 55645

Prime factors of 55645 are 5, 31, 359. Prime factorization of 55645 in exponential form is:

55645 = 51 × 311 × 3591

Prime Factorization of 55661

Prime factors of 55661 are 55661. Prime factorization of 55661 in exponential form is:

55661 = 556611

Now multiplying the highest exponent prime factors to calculate the LCM of 55645 and 55661.

LCM(55645,55661) = 51 × 311 × 3591 × 556611
LCM(55645,55661) = 3097256345