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What is the Least Common Multiple of 7473 and 7479?

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 7473 and 7479 is 18630189.

LCM(7473,7479) = 18630189

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Least Common Multiple of 7473 and 7479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7473 and 7479, than apply into the LCM equation.

GCF(7473,7479) = 3
LCM(7473,7479) = ( 7473 × 7479) / 3
LCM(7473,7479) = 55890567 / 3
LCM(7473,7479) = 18630189

Least Common Multiple (LCM) of 7473 and 7479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7473 and 7479. First we will calculate the prime factors of 7473 and 7479.

Prime Factorization of 7473

Prime factors of 7473 are 3, 47, 53. Prime factorization of 7473 in exponential form is:

7473 = 31 × 471 × 531

Prime Factorization of 7479

Prime factors of 7479 are 3, 277. Prime factorization of 7479 in exponential form is:

7479 = 33 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 7473 and 7479.

LCM(7473,7479) = 33 × 471 × 531 × 2771
LCM(7473,7479) = 18630189