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What is the Least Common Multiple of 7325 and 7330?

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 7330 is 10738450.

LCM(7325,7330) = 10738450

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Least Common Multiple of 7325 and 7330 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 7330, than apply into the LCM equation.

GCF(7325,7330) = 5
LCM(7325,7330) = ( 7325 × 7330) / 5
LCM(7325,7330) = 53692250 / 5
LCM(7325,7330) = 10738450

Least Common Multiple (LCM) of 7325 and 7330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7325 and 7330. First we will calculate the prime factors of 7325 and 7330.

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 7330

Prime factors of 7330 are 2, 5, 733. Prime factorization of 7330 in exponential form is:

7330 = 21 × 51 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 7325 and 7330.

LCM(7325,7330) = 52 × 2931 × 21 × 7331
LCM(7325,7330) = 10738450