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What is the Least Common Multiple of 7376 and 7388?

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 7376 and 7388 is 13623472.

LCM(7376,7388) = 13623472

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Least Common Multiple of 7376 and 7388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7376 and 7388, than apply into the LCM equation.

GCF(7376,7388) = 4
LCM(7376,7388) = ( 7376 × 7388) / 4
LCM(7376,7388) = 54493888 / 4
LCM(7376,7388) = 13623472

Least Common Multiple (LCM) of 7376 and 7388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7376 and 7388. First we will calculate the prime factors of 7376 and 7388.

Prime Factorization of 7376

Prime factors of 7376 are 2, 461. Prime factorization of 7376 in exponential form is:

7376 = 24 × 4611

Prime Factorization of 7388

Prime factors of 7388 are 2, 1847. Prime factorization of 7388 in exponential form is:

7388 = 22 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 7376 and 7388.

LCM(7376,7388) = 24 × 4611 × 18471
LCM(7376,7388) = 13623472