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What is the Least Common Multiple of 67785 and 67796?

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 67785 and 67796 is 4595551860.

LCM(67785,67796) = 4595551860

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Least Common Multiple of 67785 and 67796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67785 and 67796, than apply into the LCM equation.

GCF(67785,67796) = 1
LCM(67785,67796) = ( 67785 × 67796) / 1
LCM(67785,67796) = 4595551860 / 1
LCM(67785,67796) = 4595551860

Least Common Multiple (LCM) of 67785 and 67796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67785 and 67796. First we will calculate the prime factors of 67785 and 67796.

Prime Factorization of 67785

Prime factors of 67785 are 3, 5, 4519. Prime factorization of 67785 in exponential form is:

67785 = 31 × 51 × 45191

Prime Factorization of 67796

Prime factors of 67796 are 2, 17, 997. Prime factorization of 67796 in exponential form is:

67796 = 22 × 171 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 67785 and 67796.

LCM(67785,67796) = 31 × 51 × 45191 × 22 × 171 × 9971
LCM(67785,67796) = 4595551860