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What is the Least Common Multiple of 31150 and 31168?

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 31150 and 31168 is 485441600.

LCM(31150,31168) = 485441600

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Least Common Multiple of 31150 and 31168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31150 and 31168, than apply into the LCM equation.

GCF(31150,31168) = 2
LCM(31150,31168) = ( 31150 × 31168) / 2
LCM(31150,31168) = 970883200 / 2
LCM(31150,31168) = 485441600

Least Common Multiple (LCM) of 31150 and 31168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31150 and 31168. First we will calculate the prime factors of 31150 and 31168.

Prime Factorization of 31150

Prime factors of 31150 are 2, 5, 7, 89. Prime factorization of 31150 in exponential form is:

31150 = 21 × 52 × 71 × 891

Prime Factorization of 31168

Prime factors of 31168 are 2, 487. Prime factorization of 31168 in exponential form is:

31168 = 26 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 31150 and 31168.

LCM(31150,31168) = 26 × 52 × 71 × 891 × 4871
LCM(31150,31168) = 485441600