What is the Least Common Multiple of 80927 and 80934?
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 80927 and 80934 is 935677974.
LCM(80927,80934) = 935677974
Least Common Multiple of 80927 and 80934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80927 and 80934, than apply into the LCM equation.
GCF(80927,80934) = 7
LCM(80927,80934) = ( 80927 × 80934) / 7
LCM(80927,80934) = 6549745818 / 7
LCM(80927,80934) = 935677974
Least Common Multiple (LCM) of 80927 and 80934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80927 and 80934. First we will calculate the prime factors of 80927 and 80934.
Prime Factorization of 80927
Prime factors of 80927 are 7, 11, 1051. Prime factorization of 80927 in exponential form is:
80927 = 71 × 111 × 10511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 80927 and 80934.
LCM(80927,80934) = 71 × 111 × 10511 × 21 × 31 × 411 × 471
LCM(80927,80934) = 935677974
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