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What is the Least Common Multiple of 72221 and 72231?

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 72221 and 72231 is 5216595051.

LCM(72221,72231) = 5216595051

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Least Common Multiple of 72221 and 72231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72221 and 72231, than apply into the LCM equation.

GCF(72221,72231) = 1
LCM(72221,72231) = ( 72221 × 72231) / 1
LCM(72221,72231) = 5216595051 / 1
LCM(72221,72231) = 5216595051

Least Common Multiple (LCM) of 72221 and 72231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72221 and 72231. First we will calculate the prime factors of 72221 and 72231.

Prime Factorization of 72221

Prime factors of 72221 are 72221. Prime factorization of 72221 in exponential form is:

72221 = 722211

Prime Factorization of 72231

Prime factors of 72231 are 3, 24077. Prime factorization of 72231 in exponential form is:

72231 = 31 × 240771

Now multiplying the highest exponent prime factors to calculate the LCM of 72221 and 72231.

LCM(72221,72231) = 722211 × 31 × 240771
LCM(72221,72231) = 5216595051