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What is the Least Common Multiple of 67786 and 67797?

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 67786 and 67797 is 4595687442.

LCM(67786,67797) = 4595687442

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Least Common Multiple of 67786 and 67797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67786 and 67797, than apply into the LCM equation.

GCF(67786,67797) = 1
LCM(67786,67797) = ( 67786 × 67797) / 1
LCM(67786,67797) = 4595687442 / 1
LCM(67786,67797) = 4595687442

Least Common Multiple (LCM) of 67786 and 67797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67786 and 67797. First we will calculate the prime factors of 67786 and 67797.

Prime Factorization of 67786

Prime factors of 67786 are 2, 33893. Prime factorization of 67786 in exponential form is:

67786 = 21 × 338931

Prime Factorization of 67797

Prime factors of 67797 are 3, 31. Prime factorization of 67797 in exponential form is:

67797 = 37 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 67786 and 67797.

LCM(67786,67797) = 21 × 338931 × 37 × 311
LCM(67786,67797) = 4595687442