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What is the Least Common Multiple of 85227 and 85247?

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 85227 and 85247 is 7265346069.

LCM(85227,85247) = 7265346069

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Least Common Multiple of 85227 and 85247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85227 and 85247, than apply into the LCM equation.

GCF(85227,85247) = 1
LCM(85227,85247) = ( 85227 × 85247) / 1
LCM(85227,85247) = 7265346069 / 1
LCM(85227,85247) = 7265346069

Least Common Multiple (LCM) of 85227 and 85247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85227 and 85247. First we will calculate the prime factors of 85227 and 85247.

Prime Factorization of 85227

Prime factors of 85227 are 3, 28409. Prime factorization of 85227 in exponential form is:

85227 = 31 × 284091

Prime Factorization of 85247

Prime factors of 85247 are 85247. Prime factorization of 85247 in exponential form is:

85247 = 852471

Now multiplying the highest exponent prime factors to calculate the LCM of 85227 and 85247.

LCM(85227,85247) = 31 × 284091 × 852471
LCM(85227,85247) = 7265346069