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What is the Least Common Multiple of 47642 and 47659?

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 47642 and 47659 is 2270570078.

LCM(47642,47659) = 2270570078

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Least Common Multiple of 47642 and 47659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47642 and 47659, than apply into the LCM equation.

GCF(47642,47659) = 1
LCM(47642,47659) = ( 47642 × 47659) / 1
LCM(47642,47659) = 2270570078 / 1
LCM(47642,47659) = 2270570078

Least Common Multiple (LCM) of 47642 and 47659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47642 and 47659. First we will calculate the prime factors of 47642 and 47659.

Prime Factorization of 47642

Prime factors of 47642 are 2, 7, 41, 83. Prime factorization of 47642 in exponential form is:

47642 = 21 × 71 × 411 × 831

Prime Factorization of 47659

Prime factors of 47659 are 47659. Prime factorization of 47659 in exponential form is:

47659 = 476591

Now multiplying the highest exponent prime factors to calculate the LCM of 47642 and 47659.

LCM(47642,47659) = 21 × 71 × 411 × 831 × 476591
LCM(47642,47659) = 2270570078