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What is the Least Common Multiple of 31156 and 31166?

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 31156 and 31166 is 485503948.

LCM(31156,31166) = 485503948

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Least Common Multiple of 31156 and 31166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31156 and 31166, than apply into the LCM equation.

GCF(31156,31166) = 2
LCM(31156,31166) = ( 31156 × 31166) / 2
LCM(31156,31166) = 971007896 / 2
LCM(31156,31166) = 485503948

Least Common Multiple (LCM) of 31156 and 31166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31156 and 31166. First we will calculate the prime factors of 31156 and 31166.

Prime Factorization of 31156

Prime factors of 31156 are 2, 7789. Prime factorization of 31156 in exponential form is:

31156 = 22 × 77891

Prime Factorization of 31166

Prime factors of 31166 are 2, 15583. Prime factorization of 31166 in exponential form is:

31166 = 21 × 155831

Now multiplying the highest exponent prime factors to calculate the LCM of 31156 and 31166.

LCM(31156,31166) = 22 × 77891 × 155831
LCM(31156,31166) = 485503948