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What is the Least Common Multiple of 68067 and 68085?

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 68067 and 68085 is 514926855.

LCM(68067,68085) = 514926855

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Least Common Multiple of 68067 and 68085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68067 and 68085, than apply into the LCM equation.

GCF(68067,68085) = 9
LCM(68067,68085) = ( 68067 × 68085) / 9
LCM(68067,68085) = 4634341695 / 9
LCM(68067,68085) = 514926855

Least Common Multiple (LCM) of 68067 and 68085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68067 and 68085. First we will calculate the prime factors of 68067 and 68085.

Prime Factorization of 68067

Prime factors of 68067 are 3, 2521. Prime factorization of 68067 in exponential form is:

68067 = 33 × 25211

Prime Factorization of 68085

Prime factors of 68085 are 3, 5, 17, 89. Prime factorization of 68085 in exponential form is:

68085 = 32 × 51 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 68067 and 68085.

LCM(68067,68085) = 33 × 25211 × 51 × 171 × 891
LCM(68067,68085) = 514926855