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What is the Least Common Multiple of 31178 and 31183?

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 31178 and 31183 is 972223574.

LCM(31178,31183) = 972223574

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Least Common Multiple of 31178 and 31183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31178 and 31183, than apply into the LCM equation.

GCF(31178,31183) = 1
LCM(31178,31183) = ( 31178 × 31183) / 1
LCM(31178,31183) = 972223574 / 1
LCM(31178,31183) = 972223574

Least Common Multiple (LCM) of 31178 and 31183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31178 and 31183. First we will calculate the prime factors of 31178 and 31183.

Prime Factorization of 31178

Prime factors of 31178 are 2, 7, 17, 131. Prime factorization of 31178 in exponential form is:

31178 = 21 × 71 × 171 × 1311

Prime Factorization of 31183

Prime factors of 31183 are 31183. Prime factorization of 31183 in exponential form is:

31183 = 311831

Now multiplying the highest exponent prime factors to calculate the LCM of 31178 and 31183.

LCM(31178,31183) = 21 × 71 × 171 × 1311 × 311831
LCM(31178,31183) = 972223574