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What is the Least Common Multiple of 50683 and 50701?

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 50683 and 50701 is 2569678783.

LCM(50683,50701) = 2569678783

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Least Common Multiple of 50683 and 50701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50683 and 50701, than apply into the LCM equation.

GCF(50683,50701) = 1
LCM(50683,50701) = ( 50683 × 50701) / 1
LCM(50683,50701) = 2569678783 / 1
LCM(50683,50701) = 2569678783

Least Common Multiple (LCM) of 50683 and 50701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50683 and 50701. First we will calculate the prime factors of 50683 and 50701.

Prime Factorization of 50683

Prime factors of 50683 are 50683. Prime factorization of 50683 in exponential form is:

50683 = 506831

Prime Factorization of 50701

Prime factors of 50701 are 7, 7243. Prime factorization of 50701 in exponential form is:

50701 = 71 × 72431

Now multiplying the highest exponent prime factors to calculate the LCM of 50683 and 50701.

LCM(50683,50701) = 506831 × 71 × 72431
LCM(50683,50701) = 2569678783