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What is the Least Common Multiple of 50363 and 50367?

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 50363 and 50367 is 2536633221.

LCM(50363,50367) = 2536633221

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Least Common Multiple of 50363 and 50367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50363 and 50367, than apply into the LCM equation.

GCF(50363,50367) = 1
LCM(50363,50367) = ( 50363 × 50367) / 1
LCM(50363,50367) = 2536633221 / 1
LCM(50363,50367) = 2536633221

Least Common Multiple (LCM) of 50363 and 50367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50363 and 50367. First we will calculate the prime factors of 50363 and 50367.

Prime Factorization of 50363

Prime factors of 50363 are 50363. Prime factorization of 50363 in exponential form is:

50363 = 503631

Prime Factorization of 50367

Prime factors of 50367 are 3, 103, 163. Prime factorization of 50367 in exponential form is:

50367 = 31 × 1031 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 50363 and 50367.

LCM(50363,50367) = 503631 × 31 × 1031 × 1631
LCM(50363,50367) = 2536633221