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What is the Least Common Multiple of 66790 and 66810?

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 66790 and 66810 is 446223990.

LCM(66790,66810) = 446223990

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Least Common Multiple of 66790 and 66810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66790 and 66810, than apply into the LCM equation.

GCF(66790,66810) = 10
LCM(66790,66810) = ( 66790 × 66810) / 10
LCM(66790,66810) = 4462239900 / 10
LCM(66790,66810) = 446223990

Least Common Multiple (LCM) of 66790 and 66810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66790 and 66810. First we will calculate the prime factors of 66790 and 66810.

Prime Factorization of 66790

Prime factors of 66790 are 2, 5, 6679. Prime factorization of 66790 in exponential form is:

66790 = 21 × 51 × 66791

Prime Factorization of 66810

Prime factors of 66810 are 2, 3, 5, 17, 131. Prime factorization of 66810 in exponential form is:

66810 = 21 × 31 × 51 × 171 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 66790 and 66810.

LCM(66790,66810) = 21 × 51 × 66791 × 31 × 171 × 1311
LCM(66790,66810) = 446223990