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What is the Least Common Multiple of 66133 and 66142?

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 66133 and 66142 is 4374168886.

LCM(66133,66142) = 4374168886

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Least Common Multiple of 66133 and 66142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66133 and 66142, than apply into the LCM equation.

GCF(66133,66142) = 1
LCM(66133,66142) = ( 66133 × 66142) / 1
LCM(66133,66142) = 4374168886 / 1
LCM(66133,66142) = 4374168886

Least Common Multiple (LCM) of 66133 and 66142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66133 and 66142. First we will calculate the prime factors of 66133 and 66142.

Prime Factorization of 66133

Prime factors of 66133 are 41, 1613. Prime factorization of 66133 in exponential form is:

66133 = 411 × 16131

Prime Factorization of 66142

Prime factors of 66142 are 2, 33071. Prime factorization of 66142 in exponential form is:

66142 = 21 × 330711

Now multiplying the highest exponent prime factors to calculate the LCM of 66133 and 66142.

LCM(66133,66142) = 411 × 16131 × 21 × 330711
LCM(66133,66142) = 4374168886