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What is the Least Common Multiple of 9231 and 9236?

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 9231 and 9236 is 85257516.

LCM(9231,9236) = 85257516

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Least Common Multiple of 9231 and 9236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9231 and 9236, than apply into the LCM equation.

GCF(9231,9236) = 1
LCM(9231,9236) = ( 9231 × 9236) / 1
LCM(9231,9236) = 85257516 / 1
LCM(9231,9236) = 85257516

Least Common Multiple (LCM) of 9231 and 9236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9231 and 9236. First we will calculate the prime factors of 9231 and 9236.

Prime Factorization of 9231

Prime factors of 9231 are 3, 17, 181. Prime factorization of 9231 in exponential form is:

9231 = 31 × 171 × 1811

Prime Factorization of 9236

Prime factors of 9236 are 2, 2309. Prime factorization of 9236 in exponential form is:

9236 = 22 × 23091

Now multiplying the highest exponent prime factors to calculate the LCM of 9231 and 9236.

LCM(9231,9236) = 31 × 171 × 1811 × 22 × 23091
LCM(9231,9236) = 85257516