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What is the Least Common Multiple of 50369 and 50376?

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 50369 and 50376 is 2537388744.

LCM(50369,50376) = 2537388744

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Least Common Multiple of 50369 and 50376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50369 and 50376, than apply into the LCM equation.

GCF(50369,50376) = 1
LCM(50369,50376) = ( 50369 × 50376) / 1
LCM(50369,50376) = 2537388744 / 1
LCM(50369,50376) = 2537388744

Least Common Multiple (LCM) of 50369 and 50376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50369 and 50376. First we will calculate the prime factors of 50369 and 50376.

Prime Factorization of 50369

Prime factors of 50369 are 11, 19, 241. Prime factorization of 50369 in exponential form is:

50369 = 111 × 191 × 2411

Prime Factorization of 50376

Prime factors of 50376 are 2, 3, 2099. Prime factorization of 50376 in exponential form is:

50376 = 23 × 31 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 50369 and 50376.

LCM(50369,50376) = 111 × 191 × 2411 × 23 × 31 × 20991
LCM(50369,50376) = 2537388744