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What is the Least Common Multiple of 69138 and 69142?

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 69138 and 69142 is 2390169798.

LCM(69138,69142) = 2390169798

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Least Common Multiple of 69138 and 69142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69138 and 69142, than apply into the LCM equation.

GCF(69138,69142) = 2
LCM(69138,69142) = ( 69138 × 69142) / 2
LCM(69138,69142) = 4780339596 / 2
LCM(69138,69142) = 2390169798

Least Common Multiple (LCM) of 69138 and 69142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69138 and 69142. First we will calculate the prime factors of 69138 and 69142.

Prime Factorization of 69138

Prime factors of 69138 are 2, 3, 23, 167. Prime factorization of 69138 in exponential form is:

69138 = 21 × 32 × 231 × 1671

Prime Factorization of 69142

Prime factors of 69142 are 2, 181, 191. Prime factorization of 69142 in exponential form is:

69142 = 21 × 1811 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 69138 and 69142.

LCM(69138,69142) = 21 × 32 × 231 × 1671 × 1811 × 1911
LCM(69138,69142) = 2390169798