What is the Least Common Multiple of 93991 and 94011?
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 93991 and 94011 is 8836187901.
LCM(93991,94011) = 8836187901
Least Common Multiple of 93991 and 94011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93991 and 94011, than apply into the LCM equation.
GCF(93991,94011) = 1
LCM(93991,94011) = ( 93991 × 94011) / 1
LCM(93991,94011) = 8836187901 / 1
LCM(93991,94011) = 8836187901
Least Common Multiple (LCM) of 93991 and 94011 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93991 and 94011. First we will calculate the prime factors of 93991 and 94011.
Prime Factorization of 93991
Prime factors of 93991 are 193, 487. Prime factorization of 93991 in exponential form is:
93991 = 1931 × 4871
Prime Factorization of 94011
Prime factors of 94011 are 3, 31337. Prime factorization of 94011 in exponential form is:
94011 = 31 × 313371
Now multiplying the highest exponent prime factors to calculate the LCM of 93991 and 94011.
LCM(93991,94011) = 1931 × 4871 × 31 × 313371
LCM(93991,94011) = 8836187901
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