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What is the Least Common Multiple of 7428 and 7443?

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 7428 and 7443 is 18428868.

LCM(7428,7443) = 18428868

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Least Common Multiple of 7428 and 7443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7428 and 7443, than apply into the LCM equation.

GCF(7428,7443) = 3
LCM(7428,7443) = ( 7428 × 7443) / 3
LCM(7428,7443) = 55286604 / 3
LCM(7428,7443) = 18428868

Least Common Multiple (LCM) of 7428 and 7443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7428 and 7443. First we will calculate the prime factors of 7428 and 7443.

Prime Factorization of 7428

Prime factors of 7428 are 2, 3, 619. Prime factorization of 7428 in exponential form is:

7428 = 22 × 31 × 6191

Prime Factorization of 7443

Prime factors of 7443 are 3, 827. Prime factorization of 7443 in exponential form is:

7443 = 32 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 7428 and 7443.

LCM(7428,7443) = 22 × 32 × 6191 × 8271
LCM(7428,7443) = 18428868