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What is the Least Common Multiple of 68361 and 68379?

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 68361 and 68379 is 1558152273.

LCM(68361,68379) = 1558152273

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Least Common Multiple of 68361 and 68379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68361 and 68379, than apply into the LCM equation.

GCF(68361,68379) = 3
LCM(68361,68379) = ( 68361 × 68379) / 3
LCM(68361,68379) = 4674456819 / 3
LCM(68361,68379) = 1558152273

Least Common Multiple (LCM) of 68361 and 68379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68361 and 68379. First we will calculate the prime factors of 68361 and 68379.

Prime Factorization of 68361

Prime factors of 68361 are 3, 22787. Prime factorization of 68361 in exponential form is:

68361 = 31 × 227871

Prime Factorization of 68379

Prime factors of 68379 are 3, 23, 991. Prime factorization of 68379 in exponential form is:

68379 = 31 × 231 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 68361 and 68379.

LCM(68361,68379) = 31 × 227871 × 231 × 9911
LCM(68361,68379) = 1558152273