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What is the Least Common Multiple of 7325 and 7338?

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 7325 and 7338 is 53750850.

LCM(7325,7338) = 53750850

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Least Common Multiple of 7325 and 7338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7325 and 7338, than apply into the LCM equation.

GCF(7325,7338) = 1
LCM(7325,7338) = ( 7325 × 7338) / 1
LCM(7325,7338) = 53750850 / 1
LCM(7325,7338) = 53750850

Least Common Multiple (LCM) of 7325 and 7338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7325 and 7338. First we will calculate the prime factors of 7325 and 7338.

Prime Factorization of 7325

Prime factors of 7325 are 5, 293. Prime factorization of 7325 in exponential form is:

7325 = 52 × 2931

Prime Factorization of 7338

Prime factors of 7338 are 2, 3, 1223. Prime factorization of 7338 in exponential form is:

7338 = 21 × 31 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 7325 and 7338.

LCM(7325,7338) = 52 × 2931 × 21 × 31 × 12231
LCM(7325,7338) = 53750850