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What is the Least Common Multiple of 9350 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 9350 and 9358 is 43748650.

LCM(9350,9358) = 43748650

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Least Common Multiple of 9350 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 9350 and 9358, than apply into the LCM equation.

GCF(9350,9358) = 2
LCM(9350,9358) = ( 9350 × 9358) / 2
LCM(9350,9358) = 87497300 / 2
LCM(9350,9358) = 43748650

Least Common Multiple (LCM) of 9350 and 9358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9350 and 9358. First we will calculate the prime factors of 9350 and 9358.

Prime Factorization of 9350

Prime factors of 9350 are 2, 5, 11, 17. Prime factorization of 9350 in exponential form is:

9350 = 21 × 52 × 111 × 171

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 9350 and 9358.

LCM(9350,9358) = 21 × 52 × 111 × 171 × 46791
LCM(9350,9358) = 43748650