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What is the Least Common Multiple of 31135 and 31142?

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 31135 and 31142 is 969606170.

LCM(31135,31142) = 969606170

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Least Common Multiple of 31135 and 31142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31135 and 31142, than apply into the LCM equation.

GCF(31135,31142) = 1
LCM(31135,31142) = ( 31135 × 31142) / 1
LCM(31135,31142) = 969606170 / 1
LCM(31135,31142) = 969606170

Least Common Multiple (LCM) of 31135 and 31142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31135 and 31142. First we will calculate the prime factors of 31135 and 31142.

Prime Factorization of 31135

Prime factors of 31135 are 5, 13, 479. Prime factorization of 31135 in exponential form is:

31135 = 51 × 131 × 4791

Prime Factorization of 31142

Prime factors of 31142 are 2, 23, 677. Prime factorization of 31142 in exponential form is:

31142 = 21 × 231 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 31135 and 31142.

LCM(31135,31142) = 51 × 131 × 4791 × 21 × 231 × 6771
LCM(31135,31142) = 969606170