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What is the Least Common Multiple of 7324 and 7331?

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 7324 and 7331 is 53692244.

LCM(7324,7331) = 53692244

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Least Common Multiple of 7324 and 7331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7324 and 7331, than apply into the LCM equation.

GCF(7324,7331) = 1
LCM(7324,7331) = ( 7324 × 7331) / 1
LCM(7324,7331) = 53692244 / 1
LCM(7324,7331) = 53692244

Least Common Multiple (LCM) of 7324 and 7331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7324 and 7331. First we will calculate the prime factors of 7324 and 7331.

Prime Factorization of 7324

Prime factors of 7324 are 2, 1831. Prime factorization of 7324 in exponential form is:

7324 = 22 × 18311

Prime Factorization of 7331

Prime factors of 7331 are 7331. Prime factorization of 7331 in exponential form is:

7331 = 73311

Now multiplying the highest exponent prime factors to calculate the LCM of 7324 and 7331.

LCM(7324,7331) = 22 × 18311 × 73311
LCM(7324,7331) = 53692244