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What is the Least Common Multiple of 9248 and 9260?

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 9248 and 9260 is 21409120.

LCM(9248,9260) = 21409120

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Least Common Multiple of 9248 and 9260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9248 and 9260, than apply into the LCM equation.

GCF(9248,9260) = 4
LCM(9248,9260) = ( 9248 × 9260) / 4
LCM(9248,9260) = 85636480 / 4
LCM(9248,9260) = 21409120

Least Common Multiple (LCM) of 9248 and 9260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9248 and 9260. First we will calculate the prime factors of 9248 and 9260.

Prime Factorization of 9248

Prime factors of 9248 are 2, 17. Prime factorization of 9248 in exponential form is:

9248 = 25 × 172

Prime Factorization of 9260

Prime factors of 9260 are 2, 5, 463. Prime factorization of 9260 in exponential form is:

9260 = 22 × 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 9248 and 9260.

LCM(9248,9260) = 25 × 172 × 51 × 4631
LCM(9248,9260) = 21409120