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What is the Least Common Multiple of 50078 and 50095?

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 50078 and 50095 is 2508657410.

LCM(50078,50095) = 2508657410

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Least Common Multiple of 50078 and 50095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50078 and 50095, than apply into the LCM equation.

GCF(50078,50095) = 1
LCM(50078,50095) = ( 50078 × 50095) / 1
LCM(50078,50095) = 2508657410 / 1
LCM(50078,50095) = 2508657410

Least Common Multiple (LCM) of 50078 and 50095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50078 and 50095. First we will calculate the prime factors of 50078 and 50095.

Prime Factorization of 50078

Prime factors of 50078 are 2, 7, 73. Prime factorization of 50078 in exponential form is:

50078 = 21 × 73 × 731

Prime Factorization of 50095

Prime factors of 50095 are 5, 43, 233. Prime factorization of 50095 in exponential form is:

50095 = 51 × 431 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 50078 and 50095.

LCM(50078,50095) = 21 × 73 × 731 × 51 × 431 × 2331
LCM(50078,50095) = 2508657410