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What is the Least Common Multiple of 31307 and 31325?

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 31307 and 31325 is 980691775.

LCM(31307,31325) = 980691775

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Least Common Multiple of 31307 and 31325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31307 and 31325, than apply into the LCM equation.

GCF(31307,31325) = 1
LCM(31307,31325) = ( 31307 × 31325) / 1
LCM(31307,31325) = 980691775 / 1
LCM(31307,31325) = 980691775

Least Common Multiple (LCM) of 31307 and 31325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31307 and 31325. First we will calculate the prime factors of 31307 and 31325.

Prime Factorization of 31307

Prime factors of 31307 are 31307. Prime factorization of 31307 in exponential form is:

31307 = 313071

Prime Factorization of 31325

Prime factors of 31325 are 5, 7, 179. Prime factorization of 31325 in exponential form is:

31325 = 52 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 31307 and 31325.

LCM(31307,31325) = 313071 × 52 × 71 × 1791
LCM(31307,31325) = 980691775