What is the Least Common Multiple of 9228 and 9247?
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 9228 and 9247 is 85331316.
LCM(9228,9247) = 85331316
Least Common Multiple of 9228 and 9247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9228 and 9247, than apply into the LCM equation.
GCF(9228,9247) = 1
LCM(9228,9247) = ( 9228 × 9247) / 1
LCM(9228,9247) = 85331316 / 1
LCM(9228,9247) = 85331316
Least Common Multiple (LCM) of 9228 and 9247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9228 and 9247. First we will calculate the prime factors of 9228 and 9247.
Prime Factorization of 9228
Prime factors of 9228 are 2, 3, 769. Prime factorization of 9228 in exponential form is:
9228 = 22 × 31 × 7691
Prime Factorization of 9247
Prime factors of 9247 are 7, 1321. Prime factorization of 9247 in exponential form is:
9247 = 71 × 13211
Now multiplying the highest exponent prime factors to calculate the LCM of 9228 and 9247.
LCM(9228,9247) = 22 × 31 × 7691 × 71 × 13211
LCM(9228,9247) = 85331316
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