What is the Least Common Multiple of 93929 and 93934?
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 93929 and 93934 is 8823126686.
LCM(93929,93934) = 8823126686
Least Common Multiple of 93929 and 93934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93929 and 93934, than apply into the LCM equation.
GCF(93929,93934) = 1
LCM(93929,93934) = ( 93929 × 93934) / 1
LCM(93929,93934) = 8823126686 / 1
LCM(93929,93934) = 8823126686
Least Common Multiple (LCM) of 93929 and 93934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93929 and 93934. First we will calculate the prime factors of 93929 and 93934.
Prime Factorization of 93929
Prime factors of 93929 are 11, 8539. Prime factorization of 93929 in exponential form is:
93929 = 111 × 85391
Prime Factorization of 93934
Prime factors of 93934 are 2, 67, 701. Prime factorization of 93934 in exponential form is:
93934 = 21 × 671 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 93929 and 93934.
LCM(93929,93934) = 111 × 85391 × 21 × 671 × 7011
LCM(93929,93934) = 8823126686
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