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What is the Least Common Multiple of 68443 and 68448?

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 68443 and 68448 is 4684786464.

LCM(68443,68448) = 4684786464

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Least Common Multiple of 68443 and 68448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68443 and 68448, than apply into the LCM equation.

GCF(68443,68448) = 1
LCM(68443,68448) = ( 68443 × 68448) / 1
LCM(68443,68448) = 4684786464 / 1
LCM(68443,68448) = 4684786464

Least Common Multiple (LCM) of 68443 and 68448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68443 and 68448. First we will calculate the prime factors of 68443 and 68448.

Prime Factorization of 68443

Prime factors of 68443 are 68443. Prime factorization of 68443 in exponential form is:

68443 = 684431

Prime Factorization of 68448

Prime factors of 68448 are 2, 3, 23, 31. Prime factorization of 68448 in exponential form is:

68448 = 25 × 31 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 68443 and 68448.

LCM(68443,68448) = 684431 × 25 × 31 × 231 × 311
LCM(68443,68448) = 4684786464