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What is the Least Common Multiple of 47371 and 47391?

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 47371 and 47391 is 2244959061.

LCM(47371,47391) = 2244959061

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Least Common Multiple of 47371 and 47391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47371 and 47391, than apply into the LCM equation.

GCF(47371,47391) = 1
LCM(47371,47391) = ( 47371 × 47391) / 1
LCM(47371,47391) = 2244959061 / 1
LCM(47371,47391) = 2244959061

Least Common Multiple (LCM) of 47371 and 47391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47371 and 47391. First we will calculate the prime factors of 47371 and 47391.

Prime Factorization of 47371

Prime factors of 47371 are 127, 373. Prime factorization of 47371 in exponential form is:

47371 = 1271 × 3731

Prime Factorization of 47391

Prime factors of 47391 are 3, 15797. Prime factorization of 47391 in exponential form is:

47391 = 31 × 157971

Now multiplying the highest exponent prime factors to calculate the LCM of 47371 and 47391.

LCM(47371,47391) = 1271 × 3731 × 31 × 157971
LCM(47371,47391) = 2244959061