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What is the Least Common Multiple of 50862 and 50867?

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 50862 and 50867 is 2587197354.

LCM(50862,50867) = 2587197354

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Least Common Multiple of 50862 and 50867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50862 and 50867, than apply into the LCM equation.

GCF(50862,50867) = 1
LCM(50862,50867) = ( 50862 × 50867) / 1
LCM(50862,50867) = 2587197354 / 1
LCM(50862,50867) = 2587197354

Least Common Multiple (LCM) of 50862 and 50867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50862 and 50867. First we will calculate the prime factors of 50862 and 50867.

Prime Factorization of 50862

Prime factors of 50862 are 2, 3, 7, 173. Prime factorization of 50862 in exponential form is:

50862 = 21 × 31 × 72 × 1731

Prime Factorization of 50867

Prime factors of 50867 are 50867. Prime factorization of 50867 in exponential form is:

50867 = 508671

Now multiplying the highest exponent prime factors to calculate the LCM of 50862 and 50867.

LCM(50862,50867) = 21 × 31 × 72 × 1731 × 508671
LCM(50862,50867) = 2587197354