What is the Least Common Multiple of 93910 and 93921?
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 93921 is 8820121110.
LCM(93910,93921) = 8820121110
Least Common Multiple of 93910 and 93921 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 93921, than apply into the LCM equation.
GCF(93910,93921) = 1
LCM(93910,93921) = ( 93910 × 93921) / 1
LCM(93910,93921) = 8820121110 / 1
LCM(93910,93921) = 8820121110
Least Common Multiple (LCM) of 93910 and 93921 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93910 and 93921. First we will calculate the prime factors of 93910 and 93921.
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 93921
Prime factors of 93921 are 3, 31307. Prime factorization of 93921 in exponential form is:
93921 = 31 × 313071
Now multiplying the highest exponent prime factors to calculate the LCM of 93910 and 93921.
LCM(93910,93921) = 21 × 51 × 93911 × 31 × 313071
LCM(93910,93921) = 8820121110
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