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What is the Least Common Multiple of 31195 and 31206?

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 31195 and 31206 is 973471170.

LCM(31195,31206) = 973471170

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Least Common Multiple of 31195 and 31206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31195 and 31206, than apply into the LCM equation.

GCF(31195,31206) = 1
LCM(31195,31206) = ( 31195 × 31206) / 1
LCM(31195,31206) = 973471170 / 1
LCM(31195,31206) = 973471170

Least Common Multiple (LCM) of 31195 and 31206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31195 and 31206. First we will calculate the prime factors of 31195 and 31206.

Prime Factorization of 31195

Prime factors of 31195 are 5, 17, 367. Prime factorization of 31195 in exponential form is:

31195 = 51 × 171 × 3671

Prime Factorization of 31206

Prime factors of 31206 are 2, 3, 7, 743. Prime factorization of 31206 in exponential form is:

31206 = 21 × 31 × 71 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 31195 and 31206.

LCM(31195,31206) = 51 × 171 × 3671 × 21 × 31 × 71 × 7431
LCM(31195,31206) = 973471170