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What is the Least Common Multiple of 67059 and 67066?

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 67059 and 67066 is 4497378894.

LCM(67059,67066) = 4497378894

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Least Common Multiple of 67059 and 67066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67059 and 67066, than apply into the LCM equation.

GCF(67059,67066) = 1
LCM(67059,67066) = ( 67059 × 67066) / 1
LCM(67059,67066) = 4497378894 / 1
LCM(67059,67066) = 4497378894

Least Common Multiple (LCM) of 67059 and 67066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67059 and 67066. First we will calculate the prime factors of 67059 and 67066.

Prime Factorization of 67059

Prime factors of 67059 are 3, 7451. Prime factorization of 67059 in exponential form is:

67059 = 32 × 74511

Prime Factorization of 67066

Prime factors of 67066 are 2, 33533. Prime factorization of 67066 in exponential form is:

67066 = 21 × 335331

Now multiplying the highest exponent prime factors to calculate the LCM of 67059 and 67066.

LCM(67059,67066) = 32 × 74511 × 21 × 335331
LCM(67059,67066) = 4497378894