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What is the Least Common Multiple of 47482 and 47486?

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 47482 and 47486 is 1127365126.

LCM(47482,47486) = 1127365126

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Least Common Multiple of 47482 and 47486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47482 and 47486, than apply into the LCM equation.

GCF(47482,47486) = 2
LCM(47482,47486) = ( 47482 × 47486) / 2
LCM(47482,47486) = 2254730252 / 2
LCM(47482,47486) = 1127365126

Least Common Multiple (LCM) of 47482 and 47486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47482 and 47486. First we will calculate the prime factors of 47482 and 47486.

Prime Factorization of 47482

Prime factors of 47482 are 2, 23741. Prime factorization of 47482 in exponential form is:

47482 = 21 × 237411

Prime Factorization of 47486

Prime factors of 47486 are 2, 23743. Prime factorization of 47486 in exponential form is:

47486 = 21 × 237431

Now multiplying the highest exponent prime factors to calculate the LCM of 47482 and 47486.

LCM(47482,47486) = 21 × 237411 × 237431
LCM(47482,47486) = 1127365126