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What is the Least Common Multiple of 50061 and 50065?

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 50061 and 50065 is 2506303965.

LCM(50061,50065) = 2506303965

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Least Common Multiple of 50061 and 50065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50061 and 50065, than apply into the LCM equation.

GCF(50061,50065) = 1
LCM(50061,50065) = ( 50061 × 50065) / 1
LCM(50061,50065) = 2506303965 / 1
LCM(50061,50065) = 2506303965

Least Common Multiple (LCM) of 50061 and 50065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50061 and 50065. First we will calculate the prime factors of 50061 and 50065.

Prime Factorization of 50061

Prime factors of 50061 are 3, 11, 37, 41. Prime factorization of 50061 in exponential form is:

50061 = 31 × 111 × 371 × 411

Prime Factorization of 50065

Prime factors of 50065 are 5, 17, 19, 31. Prime factorization of 50065 in exponential form is:

50065 = 51 × 171 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 50061 and 50065.

LCM(50061,50065) = 31 × 111 × 371 × 411 × 51 × 171 × 191 × 311
LCM(50061,50065) = 2506303965