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What is the Least Common Multiple of 66930 and 66934?

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 66930 and 66934 is 2239946310.

LCM(66930,66934) = 2239946310

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Least Common Multiple of 66930 and 66934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66930 and 66934, than apply into the LCM equation.

GCF(66930,66934) = 2
LCM(66930,66934) = ( 66930 × 66934) / 2
LCM(66930,66934) = 4479892620 / 2
LCM(66930,66934) = 2239946310

Least Common Multiple (LCM) of 66930 and 66934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66930 and 66934. First we will calculate the prime factors of 66930 and 66934.

Prime Factorization of 66930

Prime factors of 66930 are 2, 3, 5, 23, 97. Prime factorization of 66930 in exponential form is:

66930 = 21 × 31 × 51 × 231 × 971

Prime Factorization of 66934

Prime factors of 66934 are 2, 7, 683. Prime factorization of 66934 in exponential form is:

66934 = 21 × 72 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 66930 and 66934.

LCM(66930,66934) = 21 × 31 × 51 × 231 × 971 × 72 × 6831
LCM(66930,66934) = 2239946310