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What is the Least Common Multiple of 66008 and 66022?

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 66008 and 66022 is 2178990088.

LCM(66008,66022) = 2178990088

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Least Common Multiple of 66008 and 66022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66008 and 66022, than apply into the LCM equation.

GCF(66008,66022) = 2
LCM(66008,66022) = ( 66008 × 66022) / 2
LCM(66008,66022) = 4357980176 / 2
LCM(66008,66022) = 2178990088

Least Common Multiple (LCM) of 66008 and 66022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66008 and 66022. First we will calculate the prime factors of 66008 and 66022.

Prime Factorization of 66008

Prime factors of 66008 are 2, 37, 223. Prime factorization of 66008 in exponential form is:

66008 = 23 × 371 × 2231

Prime Factorization of 66022

Prime factors of 66022 are 2, 11, 3001. Prime factorization of 66022 in exponential form is:

66022 = 21 × 111 × 30011

Now multiplying the highest exponent prime factors to calculate the LCM of 66008 and 66022.

LCM(66008,66022) = 23 × 371 × 2231 × 111 × 30011
LCM(66008,66022) = 2178990088