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What is the Least Common Multiple of 7337 and 7343?

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 7337 and 7343 is 53875591.

LCM(7337,7343) = 53875591

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Least Common Multiple of 7337 and 7343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7337 and 7343, than apply into the LCM equation.

GCF(7337,7343) = 1
LCM(7337,7343) = ( 7337 × 7343) / 1
LCM(7337,7343) = 53875591 / 1
LCM(7337,7343) = 53875591

Least Common Multiple (LCM) of 7337 and 7343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7337 and 7343. First we will calculate the prime factors of 7337 and 7343.

Prime Factorization of 7337

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

7337 = 111 × 231 × 291

Prime Factorization of 7343

Prime factors of 7343 are 7, 1049. Prime factorization of 7343 in exponential form is:

7343 = 71 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 7337 and 7343.

LCM(7337,7343) = 111 × 231 × 291 × 71 × 10491
LCM(7337,7343) = 53875591