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What is the Least Common Multiple of 50478 and 50497?

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 50478 and 50497 is 2548987566.

LCM(50478,50497) = 2548987566

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Least Common Multiple of 50478 and 50497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50478 and 50497, than apply into the LCM equation.

GCF(50478,50497) = 1
LCM(50478,50497) = ( 50478 × 50497) / 1
LCM(50478,50497) = 2548987566 / 1
LCM(50478,50497) = 2548987566

Least Common Multiple (LCM) of 50478 and 50497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50478 and 50497. First we will calculate the prime factors of 50478 and 50497.

Prime Factorization of 50478

Prime factors of 50478 are 2, 3, 47, 179. Prime factorization of 50478 in exponential form is:

50478 = 21 × 31 × 471 × 1791

Prime Factorization of 50497

Prime factors of 50497 are 50497. Prime factorization of 50497 in exponential form is:

50497 = 504971

Now multiplying the highest exponent prime factors to calculate the LCM of 50478 and 50497.

LCM(50478,50497) = 21 × 31 × 471 × 1791 × 504971
LCM(50478,50497) = 2548987566