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What is the Least Common Multiple of 15931 and 15945?

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 15931 and 15945 is 254019795.

LCM(15931,15945) = 254019795

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Least Common Multiple of 15931 and 15945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15931 and 15945, than apply into the LCM equation.

GCF(15931,15945) = 1
LCM(15931,15945) = ( 15931 × 15945) / 1
LCM(15931,15945) = 254019795 / 1
LCM(15931,15945) = 254019795

Least Common Multiple (LCM) of 15931 and 15945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15931 and 15945. First we will calculate the prime factors of 15931 and 15945.

Prime Factorization of 15931

Prime factors of 15931 are 89, 179. Prime factorization of 15931 in exponential form is:

15931 = 891 × 1791

Prime Factorization of 15945

Prime factors of 15945 are 3, 5, 1063. Prime factorization of 15945 in exponential form is:

15945 = 31 × 51 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 15931 and 15945.

LCM(15931,15945) = 891 × 1791 × 31 × 51 × 10631
LCM(15931,15945) = 254019795