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What is the Least Common Multiple of 68369 and 68377?

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 68369 and 68377 is 4674867113.

LCM(68369,68377) = 4674867113

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Least Common Multiple of 68369 and 68377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68369 and 68377, than apply into the LCM equation.

GCF(68369,68377) = 1
LCM(68369,68377) = ( 68369 × 68377) / 1
LCM(68369,68377) = 4674867113 / 1
LCM(68369,68377) = 4674867113

Least Common Multiple (LCM) of 68369 and 68377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68369 and 68377. First we will calculate the prime factors of 68369 and 68377.

Prime Factorization of 68369

Prime factors of 68369 are 7, 9767. Prime factorization of 68369 in exponential form is:

68369 = 71 × 97671

Prime Factorization of 68377

Prime factors of 68377 are 101, 677. Prime factorization of 68377 in exponential form is:

68377 = 1011 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 68369 and 68377.

LCM(68369,68377) = 71 × 97671 × 1011 × 6771
LCM(68369,68377) = 4674867113