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What is the Least Common Multiple of 66605 and 66622?

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 66605 and 66622 is 4437358310.

LCM(66605,66622) = 4437358310

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Least Common Multiple of 66605 and 66622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66605 and 66622, than apply into the LCM equation.

GCF(66605,66622) = 1
LCM(66605,66622) = ( 66605 × 66622) / 1
LCM(66605,66622) = 4437358310 / 1
LCM(66605,66622) = 4437358310

Least Common Multiple (LCM) of 66605 and 66622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66605 and 66622. First we will calculate the prime factors of 66605 and 66622.

Prime Factorization of 66605

Prime factors of 66605 are 5, 7, 11, 173. Prime factorization of 66605 in exponential form is:

66605 = 51 × 71 × 111 × 1731

Prime Factorization of 66622

Prime factors of 66622 are 2, 33311. Prime factorization of 66622 in exponential form is:

66622 = 21 × 333111

Now multiplying the highest exponent prime factors to calculate the LCM of 66605 and 66622.

LCM(66605,66622) = 51 × 71 × 111 × 1731 × 21 × 333111
LCM(66605,66622) = 4437358310