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What is the Least Common Multiple of 47477 and 47497?

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 47477 and 47497 is 2255015069.

LCM(47477,47497) = 2255015069

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Least Common Multiple of 47477 and 47497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47477 and 47497, than apply into the LCM equation.

GCF(47477,47497) = 1
LCM(47477,47497) = ( 47477 × 47497) / 1
LCM(47477,47497) = 2255015069 / 1
LCM(47477,47497) = 2255015069

Least Common Multiple (LCM) of 47477 and 47497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47477 and 47497. First we will calculate the prime factors of 47477 and 47497.

Prime Factorization of 47477

Prime factors of 47477 are 197, 241. Prime factorization of 47477 in exponential form is:

47477 = 1971 × 2411

Prime Factorization of 47497

Prime factors of 47497 are 47497. Prime factorization of 47497 in exponential form is:

47497 = 474971

Now multiplying the highest exponent prime factors to calculate the LCM of 47477 and 47497.

LCM(47477,47497) = 1971 × 2411 × 474971
LCM(47477,47497) = 2255015069