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What is the Least Common Multiple of 43368 and 43376?

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 43376 is 235141296.

LCM(43368,43376) = 235141296

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Least Common Multiple of 43368 and 43376 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 43376, than apply into the LCM equation.

GCF(43368,43376) = 8
LCM(43368,43376) = ( 43368 × 43376) / 8
LCM(43368,43376) = 1881130368 / 8
LCM(43368,43376) = 235141296

Least Common Multiple (LCM) of 43368 and 43376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43368 and 43376. First we will calculate the prime factors of 43368 and 43376.

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 43376

Prime factors of 43376 are 2, 2711. Prime factorization of 43376 in exponential form is:

43376 = 24 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 43368 and 43376.

LCM(43368,43376) = 24 × 31 × 131 × 1391 × 27111
LCM(43368,43376) = 235141296