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What is the Least Common Multiple of 66931 and 66946?

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 66931 and 66946 is 4480762726.

LCM(66931,66946) = 4480762726

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Least Common Multiple of 66931 and 66946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66931 and 66946, than apply into the LCM equation.

GCF(66931,66946) = 1
LCM(66931,66946) = ( 66931 × 66946) / 1
LCM(66931,66946) = 4480762726 / 1
LCM(66931,66946) = 4480762726

Least Common Multiple (LCM) of 66931 and 66946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66931 and 66946. First we will calculate the prime factors of 66931 and 66946.

Prime Factorization of 66931

Prime factors of 66931 are 66931. Prime factorization of 66931 in exponential form is:

66931 = 669311

Prime Factorization of 66946

Prime factors of 66946 are 2, 11, 17, 179. Prime factorization of 66946 in exponential form is:

66946 = 21 × 111 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 66931 and 66946.

LCM(66931,66946) = 669311 × 21 × 111 × 171 × 1791
LCM(66931,66946) = 4480762726