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What is the Least Common Multiple of 31240 and 31260?

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 31240 and 31260 is 48828120.

LCM(31240,31260) = 48828120

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Least Common Multiple of 31240 and 31260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31240 and 31260, than apply into the LCM equation.

GCF(31240,31260) = 20
LCM(31240,31260) = ( 31240 × 31260) / 20
LCM(31240,31260) = 976562400 / 20
LCM(31240,31260) = 48828120

Least Common Multiple (LCM) of 31240 and 31260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31240 and 31260. First we will calculate the prime factors of 31240 and 31260.

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

Prime Factorization of 31260

Prime factors of 31260 are 2, 3, 5, 521. Prime factorization of 31260 in exponential form is:

31260 = 22 × 31 × 51 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 31240 and 31260.

LCM(31240,31260) = 23 × 51 × 111 × 711 × 31 × 5211
LCM(31240,31260) = 48828120