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What is the Least Common Multiple of 55797 and 55808?

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 55797 and 55808 is 3113918976.

LCM(55797,55808) = 3113918976

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Least Common Multiple of 55797 and 55808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55797 and 55808, than apply into the LCM equation.

GCF(55797,55808) = 1
LCM(55797,55808) = ( 55797 × 55808) / 1
LCM(55797,55808) = 3113918976 / 1
LCM(55797,55808) = 3113918976

Least Common Multiple (LCM) of 55797 and 55808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55797 and 55808. First we will calculate the prime factors of 55797 and 55808.

Prime Factorization of 55797

Prime factors of 55797 are 3, 7, 2657. Prime factorization of 55797 in exponential form is:

55797 = 31 × 71 × 26571

Prime Factorization of 55808

Prime factors of 55808 are 2, 109. Prime factorization of 55808 in exponential form is:

55808 = 29 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 55797 and 55808.

LCM(55797,55808) = 31 × 71 × 26571 × 29 × 1091
LCM(55797,55808) = 3113918976