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What is the Least Common Multiple of 31012 and 31026?

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 31012 and 31026 is 481089156.

LCM(31012,31026) = 481089156

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Least Common Multiple of 31012 and 31026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31012 and 31026, than apply into the LCM equation.

GCF(31012,31026) = 2
LCM(31012,31026) = ( 31012 × 31026) / 2
LCM(31012,31026) = 962178312 / 2
LCM(31012,31026) = 481089156

Least Common Multiple (LCM) of 31012 and 31026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31012 and 31026. First we will calculate the prime factors of 31012 and 31026.

Prime Factorization of 31012

Prime factors of 31012 are 2, 7753. Prime factorization of 31012 in exponential form is:

31012 = 22 × 77531

Prime Factorization of 31026

Prime factors of 31026 are 2, 3, 5171. Prime factorization of 31026 in exponential form is:

31026 = 21 × 31 × 51711

Now multiplying the highest exponent prime factors to calculate the LCM of 31012 and 31026.

LCM(31012,31026) = 22 × 77531 × 31 × 51711
LCM(31012,31026) = 481089156