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What is the Least Common Multiple of 50479 and 50485?

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 50479 and 50485 is 2548432315.

LCM(50479,50485) = 2548432315

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Least Common Multiple of 50479 and 50485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50479 and 50485, than apply into the LCM equation.

GCF(50479,50485) = 1
LCM(50479,50485) = ( 50479 × 50485) / 1
LCM(50479,50485) = 2548432315 / 1
LCM(50479,50485) = 2548432315

Least Common Multiple (LCM) of 50479 and 50485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50479 and 50485. First we will calculate the prime factors of 50479 and 50485.

Prime Factorization of 50479

Prime factors of 50479 are 11, 13, 353. Prime factorization of 50479 in exponential form is:

50479 = 111 × 131 × 3531

Prime Factorization of 50485

Prime factors of 50485 are 5, 23, 439. Prime factorization of 50485 in exponential form is:

50485 = 51 × 231 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 50479 and 50485.

LCM(50479,50485) = 111 × 131 × 3531 × 51 × 231 × 4391
LCM(50479,50485) = 2548432315