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What is the Least Common Multiple of 55159 and 55174?

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 55159 and 55174 is 3043342666.

LCM(55159,55174) = 3043342666

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Least Common Multiple of 55159 and 55174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55159 and 55174, than apply into the LCM equation.

GCF(55159,55174) = 1
LCM(55159,55174) = ( 55159 × 55174) / 1
LCM(55159,55174) = 3043342666 / 1
LCM(55159,55174) = 3043342666

Least Common Multiple (LCM) of 55159 and 55174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55159 and 55174. First we will calculate the prime factors of 55159 and 55174.

Prime Factorization of 55159

Prime factors of 55159 are 13, 4243. Prime factorization of 55159 in exponential form is:

55159 = 131 × 42431

Prime Factorization of 55174

Prime factors of 55174 are 2, 7, 563. Prime factorization of 55174 in exponential form is:

55174 = 21 × 72 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 55159 and 55174.

LCM(55159,55174) = 131 × 42431 × 21 × 72 × 5631
LCM(55159,55174) = 3043342666