What is the Least Common Multiple of 93011 and 93021?
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 93011 and 93021 is 8651976231.
LCM(93011,93021) = 8651976231
Least Common Multiple of 93011 and 93021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93011 and 93021, than apply into the LCM equation.
GCF(93011,93021) = 1
LCM(93011,93021) = ( 93011 × 93021) / 1
LCM(93011,93021) = 8651976231 / 1
LCM(93011,93021) = 8651976231
Least Common Multiple (LCM) of 93011 and 93021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93011 and 93021. First we will calculate the prime factors of 93011 and 93021.
Prime Factorization of 93011
Prime factors of 93011 are 281, 331. Prime factorization of 93011 in exponential form is:
93011 = 2811 × 3311
Prime Factorization of 93021
Prime factors of 93021 are 3, 101, 307. Prime factorization of 93021 in exponential form is:
93021 = 31 × 1011 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 93011 and 93021.
LCM(93011,93021) = 2811 × 3311 × 31 × 1011 × 3071
LCM(93011,93021) = 8651976231
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