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What is the Least Common Multiple of 50081 and 50092?

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 50081 and 50092 is 2508657452.

LCM(50081,50092) = 2508657452

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Least Common Multiple of 50081 and 50092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50081 and 50092, than apply into the LCM equation.

GCF(50081,50092) = 1
LCM(50081,50092) = ( 50081 × 50092) / 1
LCM(50081,50092) = 2508657452 / 1
LCM(50081,50092) = 2508657452

Least Common Multiple (LCM) of 50081 and 50092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50081 and 50092. First we will calculate the prime factors of 50081 and 50092.

Prime Factorization of 50081

Prime factors of 50081 are 61, 821. Prime factorization of 50081 in exponential form is:

50081 = 611 × 8211

Prime Factorization of 50092

Prime factors of 50092 are 2, 7, 1789. Prime factorization of 50092 in exponential form is:

50092 = 22 × 71 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 50081 and 50092.

LCM(50081,50092) = 611 × 8211 × 22 × 71 × 17891
LCM(50081,50092) = 2508657452