What is the Least Common Multiple of 93265 and 93269?
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 93265 and 93269 is 8698733285.
LCM(93265,93269) = 8698733285
Least Common Multiple of 93265 and 93269 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93265 and 93269, than apply into the LCM equation.
GCF(93265,93269) = 1
LCM(93265,93269) = ( 93265 × 93269) / 1
LCM(93265,93269) = 8698733285 / 1
LCM(93265,93269) = 8698733285
Least Common Multiple (LCM) of 93265 and 93269 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93265 and 93269. First we will calculate the prime factors of 93265 and 93269.
Prime Factorization of 93265
Prime factors of 93265 are 5, 23, 811. Prime factorization of 93265 in exponential form is:
93265 = 51 × 231 × 8111
Prime Factorization of 93269
Prime factors of 93269 are 11, 61, 139. Prime factorization of 93269 in exponential form is:
93269 = 111 × 611 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 93265 and 93269.
LCM(93265,93269) = 51 × 231 × 8111 × 111 × 611 × 1391
LCM(93265,93269) = 8698733285
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