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What is the Least Common Multiple of 7321 and 7337?

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 7321 and 7337 is 53714177.

LCM(7321,7337) = 53714177

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Least Common Multiple of 7321 and 7337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7321 and 7337, than apply into the LCM equation.

GCF(7321,7337) = 1
LCM(7321,7337) = ( 7321 × 7337) / 1
LCM(7321,7337) = 53714177 / 1
LCM(7321,7337) = 53714177

Least Common Multiple (LCM) of 7321 and 7337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7321 and 7337. First we will calculate the prime factors of 7321 and 7337.

Prime Factorization of 7321

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 73211

Prime Factorization of 7337

Prime factors of 7337 are 11, 23, 29. Prime factorization of 7337 in exponential form is:

7337 = 111 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 7321 and 7337.

LCM(7321,7337) = 73211 × 111 × 231 × 291
LCM(7321,7337) = 53714177