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What is the Least Common Multiple of 47734 and 47753?

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 47734 and 47753 is 2279441702.

LCM(47734,47753) = 2279441702

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Least Common Multiple of 47734 and 47753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47734 and 47753, than apply into the LCM equation.

GCF(47734,47753) = 1
LCM(47734,47753) = ( 47734 × 47753) / 1
LCM(47734,47753) = 2279441702 / 1
LCM(47734,47753) = 2279441702

Least Common Multiple (LCM) of 47734 and 47753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47734 and 47753. First we will calculate the prime factors of 47734 and 47753.

Prime Factorization of 47734

Prime factors of 47734 are 2, 29, 823. Prime factorization of 47734 in exponential form is:

47734 = 21 × 291 × 8231

Prime Factorization of 47753

Prime factors of 47753 are 17, 53. Prime factorization of 47753 in exponential form is:

47753 = 171 × 532

Now multiplying the highest exponent prime factors to calculate the LCM of 47734 and 47753.

LCM(47734,47753) = 21 × 291 × 8231 × 171 × 532
LCM(47734,47753) = 2279441702