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What is the Least Common Multiple of 31078 and 31097?

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 31078 and 31097 is 966432566.

LCM(31078,31097) = 966432566

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Least Common Multiple of 31078 and 31097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31078 and 31097, than apply into the LCM equation.

GCF(31078,31097) = 1
LCM(31078,31097) = ( 31078 × 31097) / 1
LCM(31078,31097) = 966432566 / 1
LCM(31078,31097) = 966432566

Least Common Multiple (LCM) of 31078 and 31097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31078 and 31097. First we will calculate the prime factors of 31078 and 31097.

Prime Factorization of 31078

Prime factors of 31078 are 2, 41, 379. Prime factorization of 31078 in exponential form is:

31078 = 21 × 411 × 3791

Prime Factorization of 31097

Prime factors of 31097 are 11, 257. Prime factorization of 31097 in exponential form is:

31097 = 112 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 31078 and 31097.

LCM(31078,31097) = 21 × 411 × 3791 × 112 × 2571
LCM(31078,31097) = 966432566