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What is the Least Common Multiple of 31041 and 31060?

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 31041 and 31060 is 964133460.

LCM(31041,31060) = 964133460

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Least Common Multiple of 31041 and 31060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31041 and 31060, than apply into the LCM equation.

GCF(31041,31060) = 1
LCM(31041,31060) = ( 31041 × 31060) / 1
LCM(31041,31060) = 964133460 / 1
LCM(31041,31060) = 964133460

Least Common Multiple (LCM) of 31041 and 31060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31041 and 31060. First we will calculate the prime factors of 31041 and 31060.

Prime Factorization of 31041

Prime factors of 31041 are 3, 3449. Prime factorization of 31041 in exponential form is:

31041 = 32 × 34491

Prime Factorization of 31060

Prime factors of 31060 are 2, 5, 1553. Prime factorization of 31060 in exponential form is:

31060 = 22 × 51 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 31041 and 31060.

LCM(31041,31060) = 32 × 34491 × 22 × 51 × 15531
LCM(31041,31060) = 964133460