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What is the Least Common Multiple of 50519 and 50523?

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 50519 and 50523 is 2552371437.

LCM(50519,50523) = 2552371437

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Least Common Multiple of 50519 and 50523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50519 and 50523, than apply into the LCM equation.

GCF(50519,50523) = 1
LCM(50519,50523) = ( 50519 × 50523) / 1
LCM(50519,50523) = 2552371437 / 1
LCM(50519,50523) = 2552371437

Least Common Multiple (LCM) of 50519 and 50523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50519 and 50523. First we will calculate the prime factors of 50519 and 50523.

Prime Factorization of 50519

Prime factors of 50519 are 7, 1031. Prime factorization of 50519 in exponential form is:

50519 = 72 × 10311

Prime Factorization of 50523

Prime factors of 50523 are 3, 11, 1531. Prime factorization of 50523 in exponential form is:

50523 = 31 × 111 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 50519 and 50523.

LCM(50519,50523) = 72 × 10311 × 31 × 111 × 15311
LCM(50519,50523) = 2552371437