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What is the Least Common Multiple of 31010 and 31027?

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 31010 and 31027 is 962147270.

LCM(31010,31027) = 962147270

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Least Common Multiple of 31010 and 31027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31010 and 31027, than apply into the LCM equation.

GCF(31010,31027) = 1
LCM(31010,31027) = ( 31010 × 31027) / 1
LCM(31010,31027) = 962147270 / 1
LCM(31010,31027) = 962147270

Least Common Multiple (LCM) of 31010 and 31027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31010 and 31027. First we will calculate the prime factors of 31010 and 31027.

Prime Factorization of 31010

Prime factors of 31010 are 2, 5, 7, 443. Prime factorization of 31010 in exponential form is:

31010 = 21 × 51 × 71 × 4431

Prime Factorization of 31027

Prime factors of 31027 are 19, 23, 71. Prime factorization of 31027 in exponential form is:

31027 = 191 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 31010 and 31027.

LCM(31010,31027) = 21 × 51 × 71 × 4431 × 191 × 231 × 711
LCM(31010,31027) = 962147270