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What is the Least Common Multiple of 50177 and 50185?

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 50177 and 50185 is 2518132745.

LCM(50177,50185) = 2518132745

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Least Common Multiple of 50177 and 50185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50177 and 50185, than apply into the LCM equation.

GCF(50177,50185) = 1
LCM(50177,50185) = ( 50177 × 50185) / 1
LCM(50177,50185) = 2518132745 / 1
LCM(50177,50185) = 2518132745

Least Common Multiple (LCM) of 50177 and 50185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50177 and 50185. First we will calculate the prime factors of 50177 and 50185.

Prime Factorization of 50177

Prime factors of 50177 are 50177. Prime factorization of 50177 in exponential form is:

50177 = 501771

Prime Factorization of 50185

Prime factors of 50185 are 5, 10037. Prime factorization of 50185 in exponential form is:

50185 = 51 × 100371

Now multiplying the highest exponent prime factors to calculate the LCM of 50177 and 50185.

LCM(50177,50185) = 501771 × 51 × 100371
LCM(50177,50185) = 2518132745