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What is the Least Common Multiple of 18227 and 18247?

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 18227 and 18247 is 332588069.

LCM(18227,18247) = 332588069

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Least Common Multiple of 18227 and 18247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18227 and 18247, than apply into the LCM equation.

GCF(18227,18247) = 1
LCM(18227,18247) = ( 18227 × 18247) / 1
LCM(18227,18247) = 332588069 / 1
LCM(18227,18247) = 332588069

Least Common Multiple (LCM) of 18227 and 18247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18227 and 18247. First we will calculate the prime factors of 18227 and 18247.

Prime Factorization of 18227

Prime factors of 18227 are 11, 1657. Prime factorization of 18227 in exponential form is:

18227 = 111 × 16571

Prime Factorization of 18247

Prime factors of 18247 are 71, 257. Prime factorization of 18247 in exponential form is:

18247 = 711 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 18227 and 18247.

LCM(18227,18247) = 111 × 16571 × 711 × 2571
LCM(18227,18247) = 332588069