What is the Least Common Multiple of 80934 and 80939?
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 80934 and 80939 is 6550717026.
LCM(80934,80939) = 6550717026
Least Common Multiple of 80934 and 80939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80934 and 80939, than apply into the LCM equation.
GCF(80934,80939) = 1
LCM(80934,80939) = ( 80934 × 80939) / 1
LCM(80934,80939) = 6550717026 / 1
LCM(80934,80939) = 6550717026
Least Common Multiple (LCM) of 80934 and 80939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80934 and 80939. First we will calculate the prime factors of 80934 and 80939.
Prime Factorization of 80934
Prime factors of 80934 are 2, 3, 7, 41, 47. Prime factorization of 80934 in exponential form is:
80934 = 21 × 31 × 71 × 411 × 471
Prime Factorization of 80939
Prime factors of 80939 are 29, 2791. Prime factorization of 80939 in exponential form is:
80939 = 291 × 27911
Now multiplying the highest exponent prime factors to calculate the LCM of 80934 and 80939.
LCM(80934,80939) = 21 × 31 × 71 × 411 × 471 × 291 × 27911
LCM(80934,80939) = 6550717026
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