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What is the Least Common Multiple of 66726 and 66746?

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 66726 and 66746 is 2226846798.

LCM(66726,66746) = 2226846798

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Least Common Multiple of 66726 and 66746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66726 and 66746, than apply into the LCM equation.

GCF(66726,66746) = 2
LCM(66726,66746) = ( 66726 × 66746) / 2
LCM(66726,66746) = 4453693596 / 2
LCM(66726,66746) = 2226846798

Least Common Multiple (LCM) of 66726 and 66746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66726 and 66746. First we will calculate the prime factors of 66726 and 66746.

Prime Factorization of 66726

Prime factors of 66726 are 2, 3, 11, 337. Prime factorization of 66726 in exponential form is:

66726 = 21 × 32 × 111 × 3371

Prime Factorization of 66746

Prime factors of 66746 are 2, 23, 1451. Prime factorization of 66746 in exponential form is:

66746 = 21 × 231 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 66726 and 66746.

LCM(66726,66746) = 21 × 32 × 111 × 3371 × 231 × 14511
LCM(66726,66746) = 2226846798