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What is the Least Common Multiple of 31153 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 31153 and 31162 is 970789786.

LCM(31153,31162) = 970789786

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Least Common Multiple of 31153 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 31153 and 31162, than apply into the LCM equation.

GCF(31153,31162) = 1
LCM(31153,31162) = ( 31153 × 31162) / 1
LCM(31153,31162) = 970789786 / 1
LCM(31153,31162) = 970789786

Least Common Multiple (LCM) of 31153 and 31162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31153 and 31162. First we will calculate the prime factors of 31153 and 31162.

Prime Factorization of 31153

Prime factors of 31153 are 31153. Prime factorization of 31153 in exponential form is:

31153 = 311531

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 31153 and 31162.

LCM(31153,31162) = 311531 × 21 × 155811
LCM(31153,31162) = 970789786