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What is the Least Common Multiple of 9145 and 9150?

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 9145 and 9150 is 16735350.

LCM(9145,9150) = 16735350

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Least Common Multiple of 9145 and 9150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9145 and 9150, than apply into the LCM equation.

GCF(9145,9150) = 5
LCM(9145,9150) = ( 9145 × 9150) / 5
LCM(9145,9150) = 83676750 / 5
LCM(9145,9150) = 16735350

Least Common Multiple (LCM) of 9145 and 9150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9145 and 9150. First we will calculate the prime factors of 9145 and 9150.

Prime Factorization of 9145

Prime factors of 9145 are 5, 31, 59. Prime factorization of 9145 in exponential form is:

9145 = 51 × 311 × 591

Prime Factorization of 9150

Prime factors of 9150 are 2, 3, 5, 61. Prime factorization of 9150 in exponential form is:

9150 = 21 × 31 × 52 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 9145 and 9150.

LCM(9145,9150) = 52 × 311 × 591 × 21 × 31 × 611
LCM(9145,9150) = 16735350