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What is the Least Common Multiple of 4328 and 4336?

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 4328 and 4336 is 2345776.

LCM(4328,4336) = 2345776

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Least Common Multiple of 4328 and 4336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4328 and 4336, than apply into the LCM equation.

GCF(4328,4336) = 8
LCM(4328,4336) = ( 4328 × 4336) / 8
LCM(4328,4336) = 18766208 / 8
LCM(4328,4336) = 2345776

Least Common Multiple (LCM) of 4328 and 4336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4328 and 4336. First we will calculate the prime factors of 4328 and 4336.

Prime Factorization of 4328

Prime factors of 4328 are 2, 541. Prime factorization of 4328 in exponential form is:

4328 = 23 × 5411

Prime Factorization of 4336

Prime factors of 4336 are 2, 271. Prime factorization of 4336 in exponential form is:

4336 = 24 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 4328 and 4336.

LCM(4328,4336) = 24 × 5411 × 2711
LCM(4328,4336) = 2345776