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What is the Least Common Multiple of 31041 and 31061?

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 31061 is 964164501.

LCM(31041,31061) = 964164501

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Least Common Multiple of 31041 and 31061 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 31061, than apply into the LCM equation.

GCF(31041,31061) = 1
LCM(31041,31061) = ( 31041 × 31061) / 1
LCM(31041,31061) = 964164501 / 1
LCM(31041,31061) = 964164501

Least Common Multiple (LCM) of 31041 and 31061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31041 and 31061. First we will calculate the prime factors of 31041 and 31061.

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 31061

Prime factors of 31061 are 89, 349. Prime factorization of 31061 in exponential form is:

31061 = 891 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 31041 and 31061.

LCM(31041,31061) = 32 × 34491 × 891 × 3491
LCM(31041,31061) = 964164501