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What is the Least Common Multiple of 55398 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 55398 and 55412 is 219265284.

LCM(55398,55412) = 219265284

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Least Common Multiple of 55398 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 55398 and 55412, than apply into the LCM equation.

GCF(55398,55412) = 14
LCM(55398,55412) = ( 55398 × 55412) / 14
LCM(55398,55412) = 3069713976 / 14
LCM(55398,55412) = 219265284

Least Common Multiple (LCM) of 55398 and 55412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55398 and 55412. First we will calculate the prime factors of 55398 and 55412.

Prime Factorization of 55398

Prime factors of 55398 are 2, 3, 7, 1319. Prime factorization of 55398 in exponential form is:

55398 = 21 × 31 × 71 × 13191

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 55398 and 55412.

LCM(55398,55412) = 22 × 31 × 71 × 13191 × 19791
LCM(55398,55412) = 219265284