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What is the Least Common Multiple of 31116 and 31132?

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 31116 and 31132 is 242175828.

LCM(31116,31132) = 242175828

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Least Common Multiple of 31116 and 31132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31116 and 31132, than apply into the LCM equation.

GCF(31116,31132) = 4
LCM(31116,31132) = ( 31116 × 31132) / 4
LCM(31116,31132) = 968703312 / 4
LCM(31116,31132) = 242175828

Least Common Multiple (LCM) of 31116 and 31132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31116 and 31132. First we will calculate the prime factors of 31116 and 31132.

Prime Factorization of 31116

Prime factors of 31116 are 2, 3, 2593. Prime factorization of 31116 in exponential form is:

31116 = 22 × 31 × 25931

Prime Factorization of 31132

Prime factors of 31132 are 2, 43, 181. Prime factorization of 31132 in exponential form is:

31132 = 22 × 431 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 31116 and 31132.

LCM(31116,31132) = 22 × 31 × 25931 × 431 × 1811
LCM(31116,31132) = 242175828