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What is the Least Common Multiple of 4336 and 4354?

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 4336 and 4354 is 9439472.

LCM(4336,4354) = 9439472

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Least Common Multiple of 4336 and 4354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4336 and 4354, than apply into the LCM equation.

GCF(4336,4354) = 2
LCM(4336,4354) = ( 4336 × 4354) / 2
LCM(4336,4354) = 18878944 / 2
LCM(4336,4354) = 9439472

Least Common Multiple (LCM) of 4336 and 4354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4336 and 4354. First we will calculate the prime factors of 4336 and 4354.

Prime Factorization of 4336

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

4336 = 24 × 2711

Prime Factorization of 4354

Prime factors of 4354 are 2, 7, 311. Prime factorization of 4354 in exponential form is:

4354 = 21 × 71 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4336 and 4354.

LCM(4336,4354) = 24 × 2711 × 71 × 3111
LCM(4336,4354) = 9439472