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What is the Least Common Multiple of 31269 and 31277?

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 31269 and 31277 is 978000513.

LCM(31269,31277) = 978000513

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Least Common Multiple of 31269 and 31277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31269 and 31277, than apply into the LCM equation.

GCF(31269,31277) = 1
LCM(31269,31277) = ( 31269 × 31277) / 1
LCM(31269,31277) = 978000513 / 1
LCM(31269,31277) = 978000513

Least Common Multiple (LCM) of 31269 and 31277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31269 and 31277. First we will calculate the prime factors of 31269 and 31277.

Prime Factorization of 31269

Prime factors of 31269 are 3, 7, 1489. Prime factorization of 31269 in exponential form is:

31269 = 31 × 71 × 14891

Prime Factorization of 31277

Prime factors of 31277 are 31277. Prime factorization of 31277 in exponential form is:

31277 = 312771

Now multiplying the highest exponent prime factors to calculate the LCM of 31269 and 31277.

LCM(31269,31277) = 31 × 71 × 14891 × 312771
LCM(31269,31277) = 978000513