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What is the Least Common Multiple of 55893 and 55897?

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 55893 and 55897 is 3124251021.

LCM(55893,55897) = 3124251021

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Least Common Multiple of 55893 and 55897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55893 and 55897, than apply into the LCM equation.

GCF(55893,55897) = 1
LCM(55893,55897) = ( 55893 × 55897) / 1
LCM(55893,55897) = 3124251021 / 1
LCM(55893,55897) = 3124251021

Least Common Multiple (LCM) of 55893 and 55897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55893 and 55897. First we will calculate the prime factors of 55893 and 55897.

Prime Factorization of 55893

Prime factors of 55893 are 3, 31, 601. Prime factorization of 55893 in exponential form is:

55893 = 31 × 311 × 6011

Prime Factorization of 55897

Prime factors of 55897 are 55897. Prime factorization of 55897 in exponential form is:

55897 = 558971

Now multiplying the highest exponent prime factors to calculate the LCM of 55893 and 55897.

LCM(55893,55897) = 31 × 311 × 6011 × 558971
LCM(55893,55897) = 3124251021