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What is the Least Common Multiple of 31258 and 31264?

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 31258 and 31264 is 488625056.

LCM(31258,31264) = 488625056

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Least Common Multiple of 31258 and 31264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31258 and 31264, than apply into the LCM equation.

GCF(31258,31264) = 2
LCM(31258,31264) = ( 31258 × 31264) / 2
LCM(31258,31264) = 977250112 / 2
LCM(31258,31264) = 488625056

Least Common Multiple (LCM) of 31258 and 31264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31258 and 31264. First we will calculate the prime factors of 31258 and 31264.

Prime Factorization of 31258

Prime factors of 31258 are 2, 15629. Prime factorization of 31258 in exponential form is:

31258 = 21 × 156291

Prime Factorization of 31264

Prime factors of 31264 are 2, 977. Prime factorization of 31264 in exponential form is:

31264 = 25 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 31258 and 31264.

LCM(31258,31264) = 25 × 156291 × 9771
LCM(31258,31264) = 488625056