What is the Least Common Multiple of 93014 and 93030?
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 93014 and 93030 is 4326546210.
LCM(93014,93030) = 4326546210
Least Common Multiple of 93014 and 93030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93014 and 93030, than apply into the LCM equation.
GCF(93014,93030) = 2
LCM(93014,93030) = ( 93014 × 93030) / 2
LCM(93014,93030) = 8653092420 / 2
LCM(93014,93030) = 4326546210
Least Common Multiple (LCM) of 93014 and 93030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93014 and 93030. First we will calculate the prime factors of 93014 and 93030.
Prime Factorization of 93014
Prime factors of 93014 are 2, 46507. Prime factorization of 93014 in exponential form is:
93014 = 21 × 465071
Prime Factorization of 93030
Prime factors of 93030 are 2, 3, 5, 7, 443. Prime factorization of 93030 in exponential form is:
93030 = 21 × 31 × 51 × 71 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 93014 and 93030.
LCM(93014,93030) = 21 × 465071 × 31 × 51 × 71 × 4431
LCM(93014,93030) = 4326546210
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