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What is the Least Common Multiple of 7330 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 7330 and 7337 is 53780210.

LCM(7330,7337) = 53780210

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Least Common Multiple of 7330 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 7330 and 7337, than apply into the LCM equation.

GCF(7330,7337) = 1
LCM(7330,7337) = ( 7330 × 7337) / 1
LCM(7330,7337) = 53780210 / 1
LCM(7330,7337) = 53780210

Least Common Multiple (LCM) of 7330 and 7337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7330 and 7337. First we will calculate the prime factors of 7330 and 7337.

Prime Factorization of 7330

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

7330 = 21 × 51 × 7331

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 7330 and 7337.

LCM(7330,7337) = 21 × 51 × 7331 × 111 × 231 × 291
LCM(7330,7337) = 53780210