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What is the Least Common Multiple of 50630 and 50639?

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 50630 and 50639 is 2563852570.

LCM(50630,50639) = 2563852570

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Least Common Multiple of 50630 and 50639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50630 and 50639, than apply into the LCM equation.

GCF(50630,50639) = 1
LCM(50630,50639) = ( 50630 × 50639) / 1
LCM(50630,50639) = 2563852570 / 1
LCM(50630,50639) = 2563852570

Least Common Multiple (LCM) of 50630 and 50639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50630 and 50639. First we will calculate the prime factors of 50630 and 50639.

Prime Factorization of 50630

Prime factors of 50630 are 2, 5, 61, 83. Prime factorization of 50630 in exponential form is:

50630 = 21 × 51 × 611 × 831

Prime Factorization of 50639

Prime factors of 50639 are 79, 641. Prime factorization of 50639 in exponential form is:

50639 = 791 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 50630 and 50639.

LCM(50630,50639) = 21 × 51 × 611 × 831 × 791 × 6411
LCM(50630,50639) = 2563852570