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What is the Least Common Multiple of 55897 and 55907?

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 55897 and 55907 is 3125033579.

LCM(55897,55907) = 3125033579

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Least Common Multiple of 55897 and 55907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55897 and 55907, than apply into the LCM equation.

GCF(55897,55907) = 1
LCM(55897,55907) = ( 55897 × 55907) / 1
LCM(55897,55907) = 3125033579 / 1
LCM(55897,55907) = 3125033579

Least Common Multiple (LCM) of 55897 and 55907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55897 and 55907. First we will calculate the prime factors of 55897 and 55907.

Prime Factorization of 55897

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

55897 = 558971

Prime Factorization of 55907

Prime factors of 55907 are 37, 1511. Prime factorization of 55907 in exponential form is:

55907 = 371 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 55897 and 55907.

LCM(55897,55907) = 558971 × 371 × 15111
LCM(55897,55907) = 3125033579