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What is the Least Common Multiple of 66930 and 66942?

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 66942 is 746738010.

LCM(66930,66942) = 746738010

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Least Common Multiple of 66930 and 66942 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 66942, than apply into the LCM equation.

GCF(66930,66942) = 6
LCM(66930,66942) = ( 66930 × 66942) / 6
LCM(66930,66942) = 4480428060 / 6
LCM(66930,66942) = 746738010

Least Common Multiple (LCM) of 66930 and 66942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66930 and 66942. First we will calculate the prime factors of 66930 and 66942.

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 66942

Prime factors of 66942 are 2, 3, 3719. Prime factorization of 66942 in exponential form is:

66942 = 21 × 32 × 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 66930 and 66942.

LCM(66930,66942) = 21 × 32 × 51 × 231 × 971 × 37191
LCM(66930,66942) = 746738010