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What is the Least Common Multiple of 66129 and 66139?

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 66129 and 66139 is 4373705931.

LCM(66129,66139) = 4373705931

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Least Common Multiple of 66129 and 66139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66129 and 66139, than apply into the LCM equation.

GCF(66129,66139) = 1
LCM(66129,66139) = ( 66129 × 66139) / 1
LCM(66129,66139) = 4373705931 / 1
LCM(66129,66139) = 4373705931

Least Common Multiple (LCM) of 66129 and 66139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66129 and 66139. First we will calculate the prime factors of 66129 and 66139.

Prime Factorization of 66129

Prime factors of 66129 are 3, 7, 47, 67. Prime factorization of 66129 in exponential form is:

66129 = 31 × 71 × 471 × 671

Prime Factorization of 66139

Prime factors of 66139 are 19, 59. Prime factorization of 66139 in exponential form is:

66139 = 191 × 592

Now multiplying the highest exponent prime factors to calculate the LCM of 66129 and 66139.

LCM(66129,66139) = 31 × 71 × 471 × 671 × 191 × 592
LCM(66129,66139) = 4373705931