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What is the Least Common Multiple of 31090 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 31090 and 31096 is 483387320.

LCM(31090,31096) = 483387320

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Least Common Multiple of 31090 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 31090 and 31096, than apply into the LCM equation.

GCF(31090,31096) = 2
LCM(31090,31096) = ( 31090 × 31096) / 2
LCM(31090,31096) = 966774640 / 2
LCM(31090,31096) = 483387320

Least Common Multiple (LCM) of 31090 and 31096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31090 and 31096. First we will calculate the prime factors of 31090 and 31096.

Prime Factorization of 31090

Prime factors of 31090 are 2, 5, 3109. Prime factorization of 31090 in exponential form is:

31090 = 21 × 51 × 31091

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 31090 and 31096.

LCM(31090,31096) = 23 × 51 × 31091 × 132 × 231
LCM(31090,31096) = 483387320