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What is the Least Common Multiple of 50465 and 50471?

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 50465 and 50471 is 2547019015.

LCM(50465,50471) = 2547019015

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Least Common Multiple of 50465 and 50471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50465 and 50471, than apply into the LCM equation.

GCF(50465,50471) = 1
LCM(50465,50471) = ( 50465 × 50471) / 1
LCM(50465,50471) = 2547019015 / 1
LCM(50465,50471) = 2547019015

Least Common Multiple (LCM) of 50465 and 50471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50465 and 50471. First we will calculate the prime factors of 50465 and 50471.

Prime Factorization of 50465

Prime factors of 50465 are 5, 10093. Prime factorization of 50465 in exponential form is:

50465 = 51 × 100931

Prime Factorization of 50471

Prime factors of 50471 are 41, 1231. Prime factorization of 50471 in exponential form is:

50471 = 411 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 50465 and 50471.

LCM(50465,50471) = 51 × 100931 × 411 × 12311
LCM(50465,50471) = 2547019015