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What is the Least Common Multiple of 68349 and 68358?

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 68349 and 68358 is 1557400314.

LCM(68349,68358) = 1557400314

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Least Common Multiple of 68349 and 68358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68349 and 68358, than apply into the LCM equation.

GCF(68349,68358) = 3
LCM(68349,68358) = ( 68349 × 68358) / 3
LCM(68349,68358) = 4672200942 / 3
LCM(68349,68358) = 1557400314

Least Common Multiple (LCM) of 68349 and 68358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68349 and 68358. First we will calculate the prime factors of 68349 and 68358.

Prime Factorization of 68349

Prime factors of 68349 are 3, 22783. Prime factorization of 68349 in exponential form is:

68349 = 31 × 227831

Prime Factorization of 68358

Prime factors of 68358 are 2, 3, 11393. Prime factorization of 68358 in exponential form is:

68358 = 21 × 31 × 113931

Now multiplying the highest exponent prime factors to calculate the LCM of 68349 and 68358.

LCM(68349,68358) = 31 × 227831 × 21 × 113931
LCM(68349,68358) = 1557400314