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What is the Least Common Multiple of 31190 and 31205?

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 31190 and 31205 is 194656790.

LCM(31190,31205) = 194656790

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Least Common Multiple of 31190 and 31205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31190 and 31205, than apply into the LCM equation.

GCF(31190,31205) = 5
LCM(31190,31205) = ( 31190 × 31205) / 5
LCM(31190,31205) = 973283950 / 5
LCM(31190,31205) = 194656790

Least Common Multiple (LCM) of 31190 and 31205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31190 and 31205. First we will calculate the prime factors of 31190 and 31205.

Prime Factorization of 31190

Prime factors of 31190 are 2, 5, 3119. Prime factorization of 31190 in exponential form is:

31190 = 21 × 51 × 31191

Prime Factorization of 31205

Prime factors of 31205 are 5, 79. Prime factorization of 31205 in exponential form is:

31205 = 51 × 792

Now multiplying the highest exponent prime factors to calculate the LCM of 31190 and 31205.

LCM(31190,31205) = 21 × 51 × 31191 × 792
LCM(31190,31205) = 194656790