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What is the Least Common Multiple of 7337 and 7352?

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 7352 is 53941624.

LCM(7337,7352) = 53941624

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Least Common Multiple of 7337 and 7352 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 7352, than apply into the LCM equation.

GCF(7337,7352) = 1
LCM(7337,7352) = ( 7337 × 7352) / 1
LCM(7337,7352) = 53941624 / 1
LCM(7337,7352) = 53941624

Least Common Multiple (LCM) of 7337 and 7352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7337 and 7352. First we will calculate the prime factors of 7337 and 7352.

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 7352

Prime factors of 7352 are 2, 919. Prime factorization of 7352 in exponential form is:

7352 = 23 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 7337 and 7352.

LCM(7337,7352) = 111 × 231 × 291 × 23 × 9191
LCM(7337,7352) = 53941624