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What is the Least Common Multiple of 66930 and 66936?

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 66936 is 746671080.

LCM(66930,66936) = 746671080

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Least Common Multiple of 66930 and 66936 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 66936, than apply into the LCM equation.

GCF(66930,66936) = 6
LCM(66930,66936) = ( 66930 × 66936) / 6
LCM(66930,66936) = 4480026480 / 6
LCM(66930,66936) = 746671080

Least Common Multiple (LCM) of 66930 and 66936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66930 and 66936. First we will calculate the prime factors of 66930 and 66936.

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 66936

Prime factors of 66936 are 2, 3, 2789. Prime factorization of 66936 in exponential form is:

66936 = 23 × 31 × 27891

Now multiplying the highest exponent prime factors to calculate the LCM of 66930 and 66936.

LCM(66930,66936) = 23 × 31 × 51 × 231 × 971 × 27891
LCM(66930,66936) = 746671080