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What is the Least Common Multiple of 9282 and 9292?

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 9282 and 9292 is 43124172.

LCM(9282,9292) = 43124172

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Least Common Multiple of 9282 and 9292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9282 and 9292, than apply into the LCM equation.

GCF(9282,9292) = 2
LCM(9282,9292) = ( 9282 × 9292) / 2
LCM(9282,9292) = 86248344 / 2
LCM(9282,9292) = 43124172

Least Common Multiple (LCM) of 9282 and 9292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9282 and 9292. First we will calculate the prime factors of 9282 and 9292.

Prime Factorization of 9282

Prime factors of 9282 are 2, 3, 7, 13, 17. Prime factorization of 9282 in exponential form is:

9282 = 21 × 31 × 71 × 131 × 171

Prime Factorization of 9292

Prime factors of 9292 are 2, 23, 101. Prime factorization of 9292 in exponential form is:

9292 = 22 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9282 and 9292.

LCM(9282,9292) = 22 × 31 × 71 × 131 × 171 × 231 × 1011
LCM(9282,9292) = 43124172