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What is the Least Common Multiple of 31058 and 31065?

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 31058 and 31065 is 964816770.

LCM(31058,31065) = 964816770

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Least Common Multiple of 31058 and 31065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31058 and 31065, than apply into the LCM equation.

GCF(31058,31065) = 1
LCM(31058,31065) = ( 31058 × 31065) / 1
LCM(31058,31065) = 964816770 / 1
LCM(31058,31065) = 964816770

Least Common Multiple (LCM) of 31058 and 31065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31058 and 31065. First we will calculate the prime factors of 31058 and 31065.

Prime Factorization of 31058

Prime factors of 31058 are 2, 53, 293. Prime factorization of 31058 in exponential form is:

31058 = 21 × 531 × 2931

Prime Factorization of 31065

Prime factors of 31065 are 3, 5, 19, 109. Prime factorization of 31065 in exponential form is:

31065 = 31 × 51 × 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 31058 and 31065.

LCM(31058,31065) = 21 × 531 × 2931 × 31 × 51 × 191 × 1091
LCM(31058,31065) = 964816770