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What is the Least Common Multiple of 31168 and 31184?

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 31168 and 31184 is 60746432.

LCM(31168,31184) = 60746432

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Least Common Multiple of 31168 and 31184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31168 and 31184, than apply into the LCM equation.

GCF(31168,31184) = 16
LCM(31168,31184) = ( 31168 × 31184) / 16
LCM(31168,31184) = 971942912 / 16
LCM(31168,31184) = 60746432

Least Common Multiple (LCM) of 31168 and 31184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31168 and 31184. First we will calculate the prime factors of 31168 and 31184.

Prime Factorization of 31168

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

31168 = 26 × 4871

Prime Factorization of 31184

Prime factors of 31184 are 2, 1949. Prime factorization of 31184 in exponential form is:

31184 = 24 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 31168 and 31184.

LCM(31168,31184) = 26 × 4871 × 19491
LCM(31168,31184) = 60746432