What is the Least Common Multiple of 93910 and 93929?
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 93910 and 93929 is 8820872390.
LCM(93910,93929) = 8820872390
Least Common Multiple of 93910 and 93929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93910 and 93929, than apply into the LCM equation.
GCF(93910,93929) = 1
LCM(93910,93929) = ( 93910 × 93929) / 1
LCM(93910,93929) = 8820872390 / 1
LCM(93910,93929) = 8820872390
Least Common Multiple (LCM) of 93910 and 93929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93910 and 93929. First we will calculate the prime factors of 93910 and 93929.
Prime Factorization of 93910
Prime factors of 93910 are 2, 5, 9391. Prime factorization of 93910 in exponential form is:
93910 = 21 × 51 × 93911
Prime Factorization of 93929
Prime factors of 93929 are 11, 8539. Prime factorization of 93929 in exponential form is:
93929 = 111 × 85391
Now multiplying the highest exponent prime factors to calculate the LCM of 93910 and 93929.
LCM(93910,93929) = 21 × 51 × 93911 × 111 × 85391
LCM(93910,93929) = 8820872390
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