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What is the Least Common Multiple of 17929 and 17945?

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 17929 and 17945 is 321735905.

LCM(17929,17945) = 321735905

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Least Common Multiple of 17929 and 17945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17929 and 17945, than apply into the LCM equation.

GCF(17929,17945) = 1
LCM(17929,17945) = ( 17929 × 17945) / 1
LCM(17929,17945) = 321735905 / 1
LCM(17929,17945) = 321735905

Least Common Multiple (LCM) of 17929 and 17945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17929 and 17945. First we will calculate the prime factors of 17929 and 17945.

Prime Factorization of 17929

Prime factors of 17929 are 17929. Prime factorization of 17929 in exponential form is:

17929 = 179291

Prime Factorization of 17945

Prime factors of 17945 are 5, 37, 97. Prime factorization of 17945 in exponential form is:

17945 = 51 × 371 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 17929 and 17945.

LCM(17929,17945) = 179291 × 51 × 371 × 971
LCM(17929,17945) = 321735905