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What is the Least Common Multiple of 50667 and 50671?

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 50667 and 50671 is 2567347557.

LCM(50667,50671) = 2567347557

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Least Common Multiple of 50667 and 50671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50667 and 50671, than apply into the LCM equation.

GCF(50667,50671) = 1
LCM(50667,50671) = ( 50667 × 50671) / 1
LCM(50667,50671) = 2567347557 / 1
LCM(50667,50671) = 2567347557

Least Common Multiple (LCM) of 50667 and 50671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50667 and 50671. First we will calculate the prime factors of 50667 and 50671.

Prime Factorization of 50667

Prime factors of 50667 are 3, 16889. Prime factorization of 50667 in exponential form is:

50667 = 31 × 168891

Prime Factorization of 50671

Prime factors of 50671 are 50671. Prime factorization of 50671 in exponential form is:

50671 = 506711

Now multiplying the highest exponent prime factors to calculate the LCM of 50667 and 50671.

LCM(50667,50671) = 31 × 168891 × 506711
LCM(50667,50671) = 2567347557