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What is the Least Common Multiple of 47862 and 47869?

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 47862 and 47869 is 2291106078.

LCM(47862,47869) = 2291106078

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Least Common Multiple of 47862 and 47869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47862 and 47869, than apply into the LCM equation.

GCF(47862,47869) = 1
LCM(47862,47869) = ( 47862 × 47869) / 1
LCM(47862,47869) = 2291106078 / 1
LCM(47862,47869) = 2291106078

Least Common Multiple (LCM) of 47862 and 47869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47862 and 47869. First we will calculate the prime factors of 47862 and 47869.

Prime Factorization of 47862

Prime factors of 47862 are 2, 3, 2659. Prime factorization of 47862 in exponential form is:

47862 = 21 × 32 × 26591

Prime Factorization of 47869

Prime factors of 47869 are 47869. Prime factorization of 47869 in exponential form is:

47869 = 478691

Now multiplying the highest exponent prime factors to calculate the LCM of 47862 and 47869.

LCM(47862,47869) = 21 × 32 × 26591 × 478691
LCM(47862,47869) = 2291106078