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What is the Least Common Multiple of 10945 and 10959?

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 10945 and 10959 is 119946255.

LCM(10945,10959) = 119946255

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Least Common Multiple of 10945 and 10959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10945 and 10959, than apply into the LCM equation.

GCF(10945,10959) = 1
LCM(10945,10959) = ( 10945 × 10959) / 1
LCM(10945,10959) = 119946255 / 1
LCM(10945,10959) = 119946255

Least Common Multiple (LCM) of 10945 and 10959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10945 and 10959. First we will calculate the prime factors of 10945 and 10959.

Prime Factorization of 10945

Prime factors of 10945 are 5, 11, 199. Prime factorization of 10945 in exponential form is:

10945 = 51 × 111 × 1991

Prime Factorization of 10959

Prime factors of 10959 are 3, 13, 281. Prime factorization of 10959 in exponential form is:

10959 = 31 × 131 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 10945 and 10959.

LCM(10945,10959) = 51 × 111 × 1991 × 31 × 131 × 2811
LCM(10945,10959) = 119946255