What is the Least Common Multiple of 93022 and 93031?
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 93022 and 93031 is 8653929682.
LCM(93022,93031) = 8653929682
Least Common Multiple of 93022 and 93031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93022 and 93031, than apply into the LCM equation.
GCF(93022,93031) = 1
LCM(93022,93031) = ( 93022 × 93031) / 1
LCM(93022,93031) = 8653929682 / 1
LCM(93022,93031) = 8653929682
Least Common Multiple (LCM) of 93022 and 93031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93022 and 93031. First we will calculate the prime factors of 93022 and 93031.
Prime Factorization of 93022
Prime factors of 93022 are 2, 46511. Prime factorization of 93022 in exponential form is:
93022 = 21 × 465111
Prime Factorization of 93031
Prime factors of 93031 are 31, 3001. Prime factorization of 93031 in exponential form is:
93031 = 311 × 30011
Now multiplying the highest exponent prime factors to calculate the LCM of 93022 and 93031.
LCM(93022,93031) = 21 × 465111 × 311 × 30011
LCM(93022,93031) = 8653929682
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