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What is the Least Common Multiple of 50234 and 50247?

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 50234 and 50247 is 2524107798.

LCM(50234,50247) = 2524107798

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Least Common Multiple of 50234 and 50247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50234 and 50247, than apply into the LCM equation.

GCF(50234,50247) = 1
LCM(50234,50247) = ( 50234 × 50247) / 1
LCM(50234,50247) = 2524107798 / 1
LCM(50234,50247) = 2524107798

Least Common Multiple (LCM) of 50234 and 50247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50234 and 50247. First we will calculate the prime factors of 50234 and 50247.

Prime Factorization of 50234

Prime factors of 50234 are 2, 25117. Prime factorization of 50234 in exponential form is:

50234 = 21 × 251171

Prime Factorization of 50247

Prime factors of 50247 are 3, 1861. Prime factorization of 50247 in exponential form is:

50247 = 33 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 50234 and 50247.

LCM(50234,50247) = 21 × 251171 × 33 × 18611
LCM(50234,50247) = 2524107798