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What is the Least Common Multiple of 50159 and 50174?

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 50159 and 50174 is 2516677666.

LCM(50159,50174) = 2516677666

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Least Common Multiple of 50159 and 50174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50159 and 50174, than apply into the LCM equation.

GCF(50159,50174) = 1
LCM(50159,50174) = ( 50159 × 50174) / 1
LCM(50159,50174) = 2516677666 / 1
LCM(50159,50174) = 2516677666

Least Common Multiple (LCM) of 50159 and 50174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50159 and 50174. First we will calculate the prime factors of 50159 and 50174.

Prime Factorization of 50159

Prime factors of 50159 are 50159. Prime factorization of 50159 in exponential form is:

50159 = 501591

Prime Factorization of 50174

Prime factors of 50174 are 2, 25087. Prime factorization of 50174 in exponential form is:

50174 = 21 × 250871

Now multiplying the highest exponent prime factors to calculate the LCM of 50159 and 50174.

LCM(50159,50174) = 501591 × 21 × 250871
LCM(50159,50174) = 2516677666