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What is the Least Common Multiple of 47179 and 47197?

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 47179 and 47197 is 2226707263.

LCM(47179,47197) = 2226707263

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Least Common Multiple of 47179 and 47197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47179 and 47197, than apply into the LCM equation.

GCF(47179,47197) = 1
LCM(47179,47197) = ( 47179 × 47197) / 1
LCM(47179,47197) = 2226707263 / 1
LCM(47179,47197) = 2226707263

Least Common Multiple (LCM) of 47179 and 47197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47179 and 47197. First we will calculate the prime factors of 47179 and 47197.

Prime Factorization of 47179

Prime factors of 47179 are 11, 4289. Prime factorization of 47179 in exponential form is:

47179 = 111 × 42891

Prime Factorization of 47197

Prime factors of 47197 are 109, 433. Prime factorization of 47197 in exponential form is:

47197 = 1091 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 47179 and 47197.

LCM(47179,47197) = 111 × 42891 × 1091 × 4331
LCM(47179,47197) = 2226707263