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What is the Least Common Multiple of 68211 and 68229?

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 68211 and 68229 is 517107591.

LCM(68211,68229) = 517107591

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Least Common Multiple of 68211 and 68229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68211 and 68229, than apply into the LCM equation.

GCF(68211,68229) = 9
LCM(68211,68229) = ( 68211 × 68229) / 9
LCM(68211,68229) = 4653968319 / 9
LCM(68211,68229) = 517107591

Least Common Multiple (LCM) of 68211 and 68229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68211 and 68229. First we will calculate the prime factors of 68211 and 68229.

Prime Factorization of 68211

Prime factors of 68211 are 3, 11, 13, 53. Prime factorization of 68211 in exponential form is:

68211 = 32 × 111 × 131 × 531

Prime Factorization of 68229

Prime factors of 68229 are 3, 7, 19. Prime factorization of 68229 in exponential form is:

68229 = 33 × 71 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 68211 and 68229.

LCM(68211,68229) = 33 × 111 × 131 × 531 × 71 × 192
LCM(68211,68229) = 517107591