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What is the Least Common Multiple of 43368 and 43384?

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 43368 and 43384 is 235184664.

LCM(43368,43384) = 235184664

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Least Common Multiple of 43368 and 43384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43368 and 43384, than apply into the LCM equation.

GCF(43368,43384) = 8
LCM(43368,43384) = ( 43368 × 43384) / 8
LCM(43368,43384) = 1881477312 / 8
LCM(43368,43384) = 235184664

Least Common Multiple (LCM) of 43368 and 43384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43368 and 43384. First we will calculate the prime factors of 43368 and 43384.

Prime Factorization of 43368

Prime factors of 43368 are 2, 3, 13, 139. Prime factorization of 43368 in exponential form is:

43368 = 23 × 31 × 131 × 1391

Prime Factorization of 43384

Prime factors of 43384 are 2, 11, 17, 29. Prime factorization of 43384 in exponential form is:

43384 = 23 × 111 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 43368 and 43384.

LCM(43368,43384) = 23 × 31 × 131 × 1391 × 111 × 171 × 291
LCM(43368,43384) = 235184664