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What is the Least Common Multiple of 66706 and 66714?

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 66706 and 66714 is 2225112042.

LCM(66706,66714) = 2225112042

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Least Common Multiple of 66706 and 66714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66706 and 66714, than apply into the LCM equation.

GCF(66706,66714) = 2
LCM(66706,66714) = ( 66706 × 66714) / 2
LCM(66706,66714) = 4450224084 / 2
LCM(66706,66714) = 2225112042

Least Common Multiple (LCM) of 66706 and 66714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66706 and 66714. First we will calculate the prime factors of 66706 and 66714.

Prime Factorization of 66706

Prime factors of 66706 are 2, 33353. Prime factorization of 66706 in exponential form is:

66706 = 21 × 333531

Prime Factorization of 66714

Prime factors of 66714 are 2, 3, 11119. Prime factorization of 66714 in exponential form is:

66714 = 21 × 31 × 111191

Now multiplying the highest exponent prime factors to calculate the LCM of 66706 and 66714.

LCM(66706,66714) = 21 × 333531 × 31 × 111191
LCM(66706,66714) = 2225112042