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What is the Least Common Multiple of 31310 and 31330?

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 31310 and 31330 is 98094230.

LCM(31310,31330) = 98094230

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Least Common Multiple of 31310 and 31330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31310 and 31330, than apply into the LCM equation.

GCF(31310,31330) = 10
LCM(31310,31330) = ( 31310 × 31330) / 10
LCM(31310,31330) = 980942300 / 10
LCM(31310,31330) = 98094230

Least Common Multiple (LCM) of 31310 and 31330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31310 and 31330. First we will calculate the prime factors of 31310 and 31330.

Prime Factorization of 31310

Prime factors of 31310 are 2, 5, 31, 101. Prime factorization of 31310 in exponential form is:

31310 = 21 × 51 × 311 × 1011

Prime Factorization of 31330

Prime factors of 31330 are 2, 5, 13, 241. Prime factorization of 31330 in exponential form is:

31330 = 21 × 51 × 131 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 31310 and 31330.

LCM(31310,31330) = 21 × 51 × 311 × 1011 × 131 × 2411
LCM(31310,31330) = 98094230