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What is the Least Common Multiple of 68216 and 68224?

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 68216 and 68224 is 581746048.

LCM(68216,68224) = 581746048

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Least Common Multiple of 68216 and 68224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68216 and 68224, than apply into the LCM equation.

GCF(68216,68224) = 8
LCM(68216,68224) = ( 68216 × 68224) / 8
LCM(68216,68224) = 4653968384 / 8
LCM(68216,68224) = 581746048

Least Common Multiple (LCM) of 68216 and 68224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68216 and 68224. First we will calculate the prime factors of 68216 and 68224.

Prime Factorization of 68216

Prime factors of 68216 are 2, 8527. Prime factorization of 68216 in exponential form is:

68216 = 23 × 85271

Prime Factorization of 68224

Prime factors of 68224 are 2, 13, 41. Prime factorization of 68224 in exponential form is:

68224 = 27 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68216 and 68224.

LCM(68216,68224) = 27 × 85271 × 131 × 411
LCM(68216,68224) = 581746048