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What is the Least Common Multiple of 66134 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 66134 and 66142 is 2187117514.

LCM(66134,66142) = 2187117514

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Least Common Multiple of 66134 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 66134 and 66142, than apply into the LCM equation.

GCF(66134,66142) = 2
LCM(66134,66142) = ( 66134 × 66142) / 2
LCM(66134,66142) = 4374235028 / 2
LCM(66134,66142) = 2187117514

Least Common Multiple (LCM) of 66134 and 66142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66134 and 66142. First we will calculate the prime factors of 66134 and 66142.

Prime Factorization of 66134

Prime factors of 66134 are 2, 43, 769. Prime factorization of 66134 in exponential form is:

66134 = 21 × 431 × 7691

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 66134 and 66142.

LCM(66134,66142) = 21 × 431 × 7691 × 330711
LCM(66134,66142) = 2187117514