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What is the Least Common Multiple of 9249 and 9262?

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 9249 and 9262 is 85664238.

LCM(9249,9262) = 85664238

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Least Common Multiple of 9249 and 9262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9249 and 9262, than apply into the LCM equation.

GCF(9249,9262) = 1
LCM(9249,9262) = ( 9249 × 9262) / 1
LCM(9249,9262) = 85664238 / 1
LCM(9249,9262) = 85664238

Least Common Multiple (LCM) of 9249 and 9262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9249 and 9262. First we will calculate the prime factors of 9249 and 9262.

Prime Factorization of 9249

Prime factors of 9249 are 3, 3083. Prime factorization of 9249 in exponential form is:

9249 = 31 × 30831

Prime Factorization of 9262

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

9262 = 21 × 111 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 9249 and 9262.

LCM(9249,9262) = 31 × 30831 × 21 × 111 × 4211
LCM(9249,9262) = 85664238