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What is the Least Common Multiple of 68779 and 68784?

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 68779 and 68784 is 4730894736.

LCM(68779,68784) = 4730894736

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Least Common Multiple of 68779 and 68784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68779 and 68784, than apply into the LCM equation.

GCF(68779,68784) = 1
LCM(68779,68784) = ( 68779 × 68784) / 1
LCM(68779,68784) = 4730894736 / 1
LCM(68779,68784) = 4730894736

Least Common Multiple (LCM) of 68779 and 68784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68779 and 68784. First we will calculate the prime factors of 68779 and 68784.

Prime Factorization of 68779

Prime factors of 68779 are 109, 631. Prime factorization of 68779 in exponential form is:

68779 = 1091 × 6311

Prime Factorization of 68784

Prime factors of 68784 are 2, 3, 1433. Prime factorization of 68784 in exponential form is:

68784 = 24 × 31 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 68779 and 68784.

LCM(68779,68784) = 1091 × 6311 × 24 × 31 × 14331
LCM(68779,68784) = 4730894736