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What is the Least Common Multiple of 66138 and 66143?

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 66138 and 66143 is 4374565734.

LCM(66138,66143) = 4374565734

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Least Common Multiple of 66138 and 66143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66138 and 66143, than apply into the LCM equation.

GCF(66138,66143) = 1
LCM(66138,66143) = ( 66138 × 66143) / 1
LCM(66138,66143) = 4374565734 / 1
LCM(66138,66143) = 4374565734

Least Common Multiple (LCM) of 66138 and 66143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66138 and 66143. First we will calculate the prime factors of 66138 and 66143.

Prime Factorization of 66138

Prime factors of 66138 are 2, 3, 73, 151. Prime factorization of 66138 in exponential form is:

66138 = 21 × 31 × 731 × 1511

Prime Factorization of 66143

Prime factors of 66143 are 7, 11, 859. Prime factorization of 66143 in exponential form is:

66143 = 71 × 111 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 66138 and 66143.

LCM(66138,66143) = 21 × 31 × 731 × 1511 × 71 × 111 × 8591
LCM(66138,66143) = 4374565734