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What is the Least Common Multiple of 81227 and 81236?

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 81227 and 81236 is 6598556572.

LCM(81227,81236) = 6598556572

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Least Common Multiple of 81227 and 81236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81227 and 81236, than apply into the LCM equation.

GCF(81227,81236) = 1
LCM(81227,81236) = ( 81227 × 81236) / 1
LCM(81227,81236) = 6598556572 / 1
LCM(81227,81236) = 6598556572

Least Common Multiple (LCM) of 81227 and 81236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81227 and 81236. First we will calculate the prime factors of 81227 and 81236.

Prime Factorization of 81227

Prime factors of 81227 are 43, 1889. Prime factorization of 81227 in exponential form is:

81227 = 431 × 18891

Prime Factorization of 81236

Prime factors of 81236 are 2, 23, 883. Prime factorization of 81236 in exponential form is:

81236 = 22 × 231 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 81227 and 81236.

LCM(81227,81236) = 431 × 18891 × 22 × 231 × 8831
LCM(81227,81236) = 6598556572