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What is the Least Common Multiple of 7322 and 7339?

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 7322 and 7339 is 53736158.

LCM(7322,7339) = 53736158

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Least Common Multiple of 7322 and 7339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7322 and 7339, than apply into the LCM equation.

GCF(7322,7339) = 1
LCM(7322,7339) = ( 7322 × 7339) / 1
LCM(7322,7339) = 53736158 / 1
LCM(7322,7339) = 53736158

Least Common Multiple (LCM) of 7322 and 7339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7322 and 7339. First we will calculate the prime factors of 7322 and 7339.

Prime Factorization of 7322

Prime factors of 7322 are 2, 7, 523. Prime factorization of 7322 in exponential form is:

7322 = 21 × 71 × 5231

Prime Factorization of 7339

Prime factors of 7339 are 41, 179. Prime factorization of 7339 in exponential form is:

7339 = 411 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7322 and 7339.

LCM(7322,7339) = 21 × 71 × 5231 × 411 × 1791
LCM(7322,7339) = 53736158