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What is the Least Common Multiple of 9340 and 9358?

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 9340 and 9358 is 43701860.

LCM(9340,9358) = 43701860

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Least Common Multiple of 9340 and 9358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9340 and 9358, than apply into the LCM equation.

GCF(9340,9358) = 2
LCM(9340,9358) = ( 9340 × 9358) / 2
LCM(9340,9358) = 87403720 / 2
LCM(9340,9358) = 43701860

Least Common Multiple (LCM) of 9340 and 9358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9340 and 9358. First we will calculate the prime factors of 9340 and 9358.

Prime Factorization of 9340

Prime factors of 9340 are 2, 5, 467. Prime factorization of 9340 in exponential form is:

9340 = 22 × 51 × 4671

Prime Factorization of 9358

Prime factors of 9358 are 2, 4679. Prime factorization of 9358 in exponential form is:

9358 = 21 × 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 9340 and 9358.

LCM(9340,9358) = 22 × 51 × 4671 × 46791
LCM(9340,9358) = 43701860