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What is the Least Common Multiple of 55397 and 55412?

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 55397 and 55412 is 3069658564.

LCM(55397,55412) = 3069658564

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Least Common Multiple of 55397 and 55412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55397 and 55412, than apply into the LCM equation.

GCF(55397,55412) = 1
LCM(55397,55412) = ( 55397 × 55412) / 1
LCM(55397,55412) = 3069658564 / 1
LCM(55397,55412) = 3069658564

Least Common Multiple (LCM) of 55397 and 55412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55397 and 55412. First we will calculate the prime factors of 55397 and 55412.

Prime Factorization of 55397

Prime factors of 55397 are 31, 1787. Prime factorization of 55397 in exponential form is:

55397 = 311 × 17871

Prime Factorization of 55412

Prime factors of 55412 are 2, 7, 1979. Prime factorization of 55412 in exponential form is:

55412 = 22 × 71 × 19791

Now multiplying the highest exponent prime factors to calculate the LCM of 55397 and 55412.

LCM(55397,55412) = 311 × 17871 × 22 × 71 × 19791
LCM(55397,55412) = 3069658564