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What is the Least Common Multiple of 68379 and 68385?

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 68379 and 68385 is 1558699305.

LCM(68379,68385) = 1558699305

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Least Common Multiple of 68379 and 68385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68379 and 68385, than apply into the LCM equation.

GCF(68379,68385) = 3
LCM(68379,68385) = ( 68379 × 68385) / 3
LCM(68379,68385) = 4676097915 / 3
LCM(68379,68385) = 1558699305

Least Common Multiple (LCM) of 68379 and 68385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68379 and 68385. First we will calculate the prime factors of 68379 and 68385.

Prime Factorization of 68379

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

68379 = 31 × 231 × 9911

Prime Factorization of 68385

Prime factors of 68385 are 3, 5, 47, 97. Prime factorization of 68385 in exponential form is:

68385 = 31 × 51 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 68379 and 68385.

LCM(68379,68385) = 31 × 231 × 9911 × 51 × 471 × 971
LCM(68379,68385) = 1558699305