What is the Least Common Multiple of 93287 and 93292?
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 93287 and 93292 is 8702930804.
LCM(93287,93292) = 8702930804
Least Common Multiple of 93287 and 93292 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93287 and 93292, than apply into the LCM equation.
GCF(93287,93292) = 1
LCM(93287,93292) = ( 93287 × 93292) / 1
LCM(93287,93292) = 8702930804 / 1
LCM(93287,93292) = 8702930804
Least Common Multiple (LCM) of 93287 and 93292 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93287 and 93292. First we will calculate the prime factors of 93287 and 93292.
Prime Factorization of 93287
Prime factors of 93287 are 93287. Prime factorization of 93287 in exponential form is:
93287 = 932871
Prime Factorization of 93292
Prime factors of 93292 are 2, 83, 281. Prime factorization of 93292 in exponential form is:
93292 = 22 × 831 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 93287 and 93292.
LCM(93287,93292) = 932871 × 22 × 831 × 2811
LCM(93287,93292) = 8702930804
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