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What is the Least Common Multiple of 47659 and 47669?

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 47659 and 47669 is 2271856871.

LCM(47659,47669) = 2271856871

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Least Common Multiple of 47659 and 47669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47659 and 47669, than apply into the LCM equation.

GCF(47659,47669) = 1
LCM(47659,47669) = ( 47659 × 47669) / 1
LCM(47659,47669) = 2271856871 / 1
LCM(47659,47669) = 2271856871

Least Common Multiple (LCM) of 47659 and 47669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47659 and 47669. First we will calculate the prime factors of 47659 and 47669.

Prime Factorization of 47659

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

47659 = 476591

Prime Factorization of 47669

Prime factors of 47669 are 73, 653. Prime factorization of 47669 in exponential form is:

47669 = 731 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 47659 and 47669.

LCM(47659,47669) = 476591 × 731 × 6531
LCM(47659,47669) = 2271856871