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What is the Least Common Multiple of 7389 and 7409?

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 7389 and 7409 is 54745101.

LCM(7389,7409) = 54745101

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Least Common Multiple of 7389 and 7409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7389 and 7409, than apply into the LCM equation.

GCF(7389,7409) = 1
LCM(7389,7409) = ( 7389 × 7409) / 1
LCM(7389,7409) = 54745101 / 1
LCM(7389,7409) = 54745101

Least Common Multiple (LCM) of 7389 and 7409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7389 and 7409. First we will calculate the prime factors of 7389 and 7409.

Prime Factorization of 7389

Prime factors of 7389 are 3, 821. Prime factorization of 7389 in exponential form is:

7389 = 32 × 8211

Prime Factorization of 7409

Prime factors of 7409 are 31, 239. Prime factorization of 7409 in exponential form is:

7409 = 311 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7389 and 7409.

LCM(7389,7409) = 32 × 8211 × 311 × 2391
LCM(7389,7409) = 54745101