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What is the Least Common Multiple of 7424 and 7438?

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 7424 and 7438 is 27609856.

LCM(7424,7438) = 27609856

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Least Common Multiple of 7424 and 7438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7424 and 7438, than apply into the LCM equation.

GCF(7424,7438) = 2
LCM(7424,7438) = ( 7424 × 7438) / 2
LCM(7424,7438) = 55219712 / 2
LCM(7424,7438) = 27609856

Least Common Multiple (LCM) of 7424 and 7438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7424 and 7438. First we will calculate the prime factors of 7424 and 7438.

Prime Factorization of 7424

Prime factors of 7424 are 2, 29. Prime factorization of 7424 in exponential form is:

7424 = 28 × 291

Prime Factorization of 7438

Prime factors of 7438 are 2, 3719. Prime factorization of 7438 in exponential form is:

7438 = 21 × 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 7424 and 7438.

LCM(7424,7438) = 28 × 291 × 37191
LCM(7424,7438) = 27609856