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What is the Least Common Multiple of 76227 and 76243?

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 76227 and 76243 is 5811775161.

LCM(76227,76243) = 5811775161

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Least Common Multiple of 76227 and 76243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76227 and 76243, than apply into the LCM equation.

GCF(76227,76243) = 1
LCM(76227,76243) = ( 76227 × 76243) / 1
LCM(76227,76243) = 5811775161 / 1
LCM(76227,76243) = 5811775161

Least Common Multiple (LCM) of 76227 and 76243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76227 and 76243. First we will calculate the prime factors of 76227 and 76243.

Prime Factorization of 76227

Prime factors of 76227 are 3, 25409. Prime factorization of 76227 in exponential form is:

76227 = 31 × 254091

Prime Factorization of 76243

Prime factors of 76243 are 76243. Prime factorization of 76243 in exponential form is:

76243 = 762431

Now multiplying the highest exponent prime factors to calculate the LCM of 76227 and 76243.

LCM(76227,76243) = 31 × 254091 × 762431
LCM(76227,76243) = 5811775161