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What is the Least Common Multiple of 50430 and 50447?

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 50430 and 50447 is 2544042210.

LCM(50430,50447) = 2544042210

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Least Common Multiple of 50430 and 50447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50430 and 50447, than apply into the LCM equation.

GCF(50430,50447) = 1
LCM(50430,50447) = ( 50430 × 50447) / 1
LCM(50430,50447) = 2544042210 / 1
LCM(50430,50447) = 2544042210

Least Common Multiple (LCM) of 50430 and 50447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50430 and 50447. First we will calculate the prime factors of 50430 and 50447.

Prime Factorization of 50430

Prime factors of 50430 are 2, 3, 5, 41. Prime factorization of 50430 in exponential form is:

50430 = 21 × 31 × 51 × 412

Prime Factorization of 50447

Prime factors of 50447 are 61, 827. Prime factorization of 50447 in exponential form is:

50447 = 611 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 50430 and 50447.

LCM(50430,50447) = 21 × 31 × 51 × 412 × 611 × 8271
LCM(50430,50447) = 2544042210