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What is the Least Common Multiple of 50227 and 50246?

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 50227 and 50246 is 2523705842.

LCM(50227,50246) = 2523705842

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Least Common Multiple of 50227 and 50246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50227 and 50246, than apply into the LCM equation.

GCF(50227,50246) = 1
LCM(50227,50246) = ( 50227 × 50246) / 1
LCM(50227,50246) = 2523705842 / 1
LCM(50227,50246) = 2523705842

Least Common Multiple (LCM) of 50227 and 50246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50227 and 50246. First we will calculate the prime factors of 50227 and 50246.

Prime Factorization of 50227

Prime factors of 50227 are 50227. Prime factorization of 50227 in exponential form is:

50227 = 502271

Prime Factorization of 50246

Prime factors of 50246 are 2, 7, 37, 97. Prime factorization of 50246 in exponential form is:

50246 = 21 × 71 × 371 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 50227 and 50246.

LCM(50227,50246) = 502271 × 21 × 71 × 371 × 971
LCM(50227,50246) = 2523705842