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What is the Least Common Multiple of 31092 and 31096?

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 31092 and 31096 is 241709208.

LCM(31092,31096) = 241709208

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Least Common Multiple of 31092 and 31096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31092 and 31096, than apply into the LCM equation.

GCF(31092,31096) = 4
LCM(31092,31096) = ( 31092 × 31096) / 4
LCM(31092,31096) = 966836832 / 4
LCM(31092,31096) = 241709208

Least Common Multiple (LCM) of 31092 and 31096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31092 and 31096. First we will calculate the prime factors of 31092 and 31096.

Prime Factorization of 31092

Prime factors of 31092 are 2, 3, 2591. Prime factorization of 31092 in exponential form is:

31092 = 22 × 31 × 25911

Prime Factorization of 31096

Prime factors of 31096 are 2, 13, 23. Prime factorization of 31096 in exponential form is:

31096 = 23 × 132 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 31092 and 31096.

LCM(31092,31096) = 23 × 31 × 25911 × 132 × 231
LCM(31092,31096) = 241709208