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What is the Least Common Multiple of 31158 and 31162?

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 31158 and 31162 is 485472798.

LCM(31158,31162) = 485472798

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Least Common Multiple of 31158 and 31162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31158 and 31162, than apply into the LCM equation.

GCF(31158,31162) = 2
LCM(31158,31162) = ( 31158 × 31162) / 2
LCM(31158,31162) = 970945596 / 2
LCM(31158,31162) = 485472798

Least Common Multiple (LCM) of 31158 and 31162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31158 and 31162. First we will calculate the prime factors of 31158 and 31162.

Prime Factorization of 31158

Prime factors of 31158 are 2, 3, 577. Prime factorization of 31158 in exponential form is:

31158 = 21 × 33 × 5771

Prime Factorization of 31162

Prime factors of 31162 are 2, 15581. Prime factorization of 31162 in exponential form is:

31162 = 21 × 155811

Now multiplying the highest exponent prime factors to calculate the LCM of 31158 and 31162.

LCM(31158,31162) = 21 × 33 × 5771 × 155811
LCM(31158,31162) = 485472798