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What is the Least Common Multiple of 66123 and 66136?

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 66123 and 66136 is 4373110728.

LCM(66123,66136) = 4373110728

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Least Common Multiple of 66123 and 66136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66123 and 66136, than apply into the LCM equation.

GCF(66123,66136) = 1
LCM(66123,66136) = ( 66123 × 66136) / 1
LCM(66123,66136) = 4373110728 / 1
LCM(66123,66136) = 4373110728

Least Common Multiple (LCM) of 66123 and 66136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66123 and 66136. First we will calculate the prime factors of 66123 and 66136.

Prime Factorization of 66123

Prime factors of 66123 are 3, 31, 79. Prime factorization of 66123 in exponential form is:

66123 = 33 × 311 × 791

Prime Factorization of 66136

Prime factors of 66136 are 2, 7, 1181. Prime factorization of 66136 in exponential form is:

66136 = 23 × 71 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 66123 and 66136.

LCM(66123,66136) = 33 × 311 × 791 × 23 × 71 × 11811
LCM(66123,66136) = 4373110728