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What is the Least Common Multiple of 9262 and 9267?

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 9262 and 9267 is 85830954.

LCM(9262,9267) = 85830954

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Least Common Multiple of 9262 and 9267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9262 and 9267, than apply into the LCM equation.

GCF(9262,9267) = 1
LCM(9262,9267) = ( 9262 × 9267) / 1
LCM(9262,9267) = 85830954 / 1
LCM(9262,9267) = 85830954

Least Common Multiple (LCM) of 9262 and 9267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9262 and 9267. First we will calculate the prime factors of 9262 and 9267.

Prime Factorization of 9262

Prime factors of 9262 are 2, 11, 421. Prime factorization of 9262 in exponential form is:

9262 = 21 × 111 × 4211

Prime Factorization of 9267

Prime factors of 9267 are 3, 3089. Prime factorization of 9267 in exponential form is:

9267 = 31 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 9262 and 9267.

LCM(9262,9267) = 21 × 111 × 4211 × 31 × 30891
LCM(9262,9267) = 85830954