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What is the Least Common Multiple of 72227 and 72237?

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 72227 and 72237 is 5217461799.

LCM(72227,72237) = 5217461799

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Least Common Multiple of 72227 and 72237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72227 and 72237, than apply into the LCM equation.

GCF(72227,72237) = 1
LCM(72227,72237) = ( 72227 × 72237) / 1
LCM(72227,72237) = 5217461799 / 1
LCM(72227,72237) = 5217461799

Least Common Multiple (LCM) of 72227 and 72237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72227 and 72237. First we will calculate the prime factors of 72227 and 72237.

Prime Factorization of 72227

Prime factors of 72227 are 72227. Prime factorization of 72227 in exponential form is:

72227 = 722271

Prime Factorization of 72237

Prime factors of 72237 are 3, 11, 199. Prime factorization of 72237 in exponential form is:

72237 = 31 × 112 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 72227 and 72237.

LCM(72227,72237) = 722271 × 31 × 112 × 1991
LCM(72227,72237) = 5217461799