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What is the Least Common Multiple of 55131 and 55144?

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 55131 and 55144 is 3040143864.

LCM(55131,55144) = 3040143864

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Least Common Multiple of 55131 and 55144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55131 and 55144, than apply into the LCM equation.

GCF(55131,55144) = 1
LCM(55131,55144) = ( 55131 × 55144) / 1
LCM(55131,55144) = 3040143864 / 1
LCM(55131,55144) = 3040143864

Least Common Multiple (LCM) of 55131 and 55144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55131 and 55144. First we will calculate the prime factors of 55131 and 55144.

Prime Factorization of 55131

Prime factors of 55131 are 3, 17, 23, 47. Prime factorization of 55131 in exponential form is:

55131 = 31 × 171 × 231 × 471

Prime Factorization of 55144

Prime factors of 55144 are 2, 61, 113. Prime factorization of 55144 in exponential form is:

55144 = 23 × 611 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 55131 and 55144.

LCM(55131,55144) = 31 × 171 × 231 × 471 × 23 × 611 × 1131
LCM(55131,55144) = 3040143864