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What is the Least Common Multiple of 51363 and 51367?

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 51363 and 51367 is 2638363221.

LCM(51363,51367) = 2638363221

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Least Common Multiple of 51363 and 51367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51363 and 51367, than apply into the LCM equation.

GCF(51363,51367) = 1
LCM(51363,51367) = ( 51363 × 51367) / 1
LCM(51363,51367) = 2638363221 / 1
LCM(51363,51367) = 2638363221

Least Common Multiple (LCM) of 51363 and 51367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51363 and 51367. First we will calculate the prime factors of 51363 and 51367.

Prime Factorization of 51363

Prime factors of 51363 are 3, 13, 439. Prime factorization of 51363 in exponential form is:

51363 = 32 × 131 × 4391

Prime Factorization of 51367

Prime factors of 51367 are 31, 1657. Prime factorization of 51367 in exponential form is:

51367 = 311 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 51363 and 51367.

LCM(51363,51367) = 32 × 131 × 4391 × 311 × 16571
LCM(51363,51367) = 2638363221