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What is the Least Common Multiple of 31226 and 31240?

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 31226 and 31240 is 487750120.

LCM(31226,31240) = 487750120

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Least Common Multiple of 31226 and 31240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31226 and 31240, than apply into the LCM equation.

GCF(31226,31240) = 2
LCM(31226,31240) = ( 31226 × 31240) / 2
LCM(31226,31240) = 975500240 / 2
LCM(31226,31240) = 487750120

Least Common Multiple (LCM) of 31226 and 31240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31226 and 31240. First we will calculate the prime factors of 31226 and 31240.

Prime Factorization of 31226

Prime factors of 31226 are 2, 13, 1201. Prime factorization of 31226 in exponential form is:

31226 = 21 × 131 × 12011

Prime Factorization of 31240

Prime factors of 31240 are 2, 5, 11, 71. Prime factorization of 31240 in exponential form is:

31240 = 23 × 51 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 31226 and 31240.

LCM(31226,31240) = 23 × 131 × 12011 × 51 × 111 × 711
LCM(31226,31240) = 487750120