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What is the Least Common Multiple of 7340 and 7344?

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 7340 and 7344 is 13476240.

LCM(7340,7344) = 13476240

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Least Common Multiple of 7340 and 7344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7340 and 7344, than apply into the LCM equation.

GCF(7340,7344) = 4
LCM(7340,7344) = ( 7340 × 7344) / 4
LCM(7340,7344) = 53904960 / 4
LCM(7340,7344) = 13476240

Least Common Multiple (LCM) of 7340 and 7344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7340 and 7344. First we will calculate the prime factors of 7340 and 7344.

Prime Factorization of 7340

Prime factors of 7340 are 2, 5, 367. Prime factorization of 7340 in exponential form is:

7340 = 22 × 51 × 3671

Prime Factorization of 7344

Prime factors of 7344 are 2, 3, 17. Prime factorization of 7344 in exponential form is:

7344 = 24 × 33 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7344.

LCM(7340,7344) = 24 × 51 × 3671 × 33 × 171
LCM(7340,7344) = 13476240