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What is the Least Common Multiple of 9215 and 9222?

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 9215 and 9222 is 84980730.

LCM(9215,9222) = 84980730

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Least Common Multiple of 9215 and 9222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9215 and 9222, than apply into the LCM equation.

GCF(9215,9222) = 1
LCM(9215,9222) = ( 9215 × 9222) / 1
LCM(9215,9222) = 84980730 / 1
LCM(9215,9222) = 84980730

Least Common Multiple (LCM) of 9215 and 9222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9215 and 9222. First we will calculate the prime factors of 9215 and 9222.

Prime Factorization of 9215

Prime factors of 9215 are 5, 19, 97. Prime factorization of 9215 in exponential form is:

9215 = 51 × 191 × 971

Prime Factorization of 9222

Prime factors of 9222 are 2, 3, 29, 53. Prime factorization of 9222 in exponential form is:

9222 = 21 × 31 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9215 and 9222.

LCM(9215,9222) = 51 × 191 × 971 × 21 × 31 × 291 × 531
LCM(9215,9222) = 84980730