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What is the Least Common Multiple of 7318 and 7324?

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 7318 and 7324 is 26798516.

LCM(7318,7324) = 26798516

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Least Common Multiple of 7318 and 7324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7318 and 7324, than apply into the LCM equation.

GCF(7318,7324) = 2
LCM(7318,7324) = ( 7318 × 7324) / 2
LCM(7318,7324) = 53597032 / 2
LCM(7318,7324) = 26798516

Least Common Multiple (LCM) of 7318 and 7324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7318 and 7324. First we will calculate the prime factors of 7318 and 7324.

Prime Factorization of 7318

Prime factors of 7318 are 2, 3659. Prime factorization of 7318 in exponential form is:

7318 = 21 × 36591

Prime Factorization of 7324

Prime factors of 7324 are 2, 1831. Prime factorization of 7324 in exponential form is:

7324 = 22 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 7318 and 7324.

LCM(7318,7324) = 22 × 36591 × 18311
LCM(7318,7324) = 26798516