What is the Least Common Multiple of 93560 and 93579?
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 93560 and 93579 is 8755251240.
LCM(93560,93579) = 8755251240
Least Common Multiple of 93560 and 93579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93560 and 93579, than apply into the LCM equation.
GCF(93560,93579) = 1
LCM(93560,93579) = ( 93560 × 93579) / 1
LCM(93560,93579) = 8755251240 / 1
LCM(93560,93579) = 8755251240
Least Common Multiple (LCM) of 93560 and 93579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93560 and 93579. First we will calculate the prime factors of 93560 and 93579.
Prime Factorization of 93560
Prime factors of 93560 are 2, 5, 2339. Prime factorization of 93560 in exponential form is:
93560 = 23 × 51 × 23391
Prime Factorization of 93579
Prime factors of 93579 are 3, 31193. Prime factorization of 93579 in exponential form is:
93579 = 31 × 311931
Now multiplying the highest exponent prime factors to calculate the LCM of 93560 and 93579.
LCM(93560,93579) = 23 × 51 × 23391 × 31 × 311931
LCM(93560,93579) = 8755251240
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