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What is the Least Common Multiple of 31300 and 31304?

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 31300 and 31304 is 244953800.

LCM(31300,31304) = 244953800

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Least Common Multiple of 31300 and 31304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31300 and 31304, than apply into the LCM equation.

GCF(31300,31304) = 4
LCM(31300,31304) = ( 31300 × 31304) / 4
LCM(31300,31304) = 979815200 / 4
LCM(31300,31304) = 244953800

Least Common Multiple (LCM) of 31300 and 31304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31300 and 31304. First we will calculate the prime factors of 31300 and 31304.

Prime Factorization of 31300

Prime factors of 31300 are 2, 5, 313. Prime factorization of 31300 in exponential form is:

31300 = 22 × 52 × 3131

Prime Factorization of 31304

Prime factors of 31304 are 2, 7, 13, 43. Prime factorization of 31304 in exponential form is:

31304 = 23 × 71 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 31300 and 31304.

LCM(31300,31304) = 23 × 52 × 3131 × 71 × 131 × 431
LCM(31300,31304) = 244953800