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What is the Least Common Multiple of 55422 and 55431?

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 55422 and 55431 is 341344098.

LCM(55422,55431) = 341344098

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Least Common Multiple of 55422 and 55431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55422 and 55431, than apply into the LCM equation.

GCF(55422,55431) = 9
LCM(55422,55431) = ( 55422 × 55431) / 9
LCM(55422,55431) = 3072096882 / 9
LCM(55422,55431) = 341344098

Least Common Multiple (LCM) of 55422 and 55431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55422 and 55431. First we will calculate the prime factors of 55422 and 55431.

Prime Factorization of 55422

Prime factors of 55422 are 2, 3, 3079. Prime factorization of 55422 in exponential form is:

55422 = 21 × 32 × 30791

Prime Factorization of 55431

Prime factors of 55431 are 3, 2053. Prime factorization of 55431 in exponential form is:

55431 = 33 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 55422 and 55431.

LCM(55422,55431) = 21 × 33 × 30791 × 20531
LCM(55422,55431) = 341344098