What is the Least Common Multiple of 93266 and 93275?
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 93266 and 93275 is 8699386150.
LCM(93266,93275) = 8699386150
Least Common Multiple of 93266 and 93275 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93266 and 93275, than apply into the LCM equation.
GCF(93266,93275) = 1
LCM(93266,93275) = ( 93266 × 93275) / 1
LCM(93266,93275) = 8699386150 / 1
LCM(93266,93275) = 8699386150
Least Common Multiple (LCM) of 93266 and 93275 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93266 and 93275. First we will calculate the prime factors of 93266 and 93275.
Prime Factorization of 93266
Prime factors of 93266 are 2, 46633. Prime factorization of 93266 in exponential form is:
93266 = 21 × 466331
Prime Factorization of 93275
Prime factors of 93275 are 5, 7, 13, 41. Prime factorization of 93275 in exponential form is:
93275 = 52 × 71 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 93266 and 93275.
LCM(93266,93275) = 21 × 466331 × 52 × 71 × 131 × 411
LCM(93266,93275) = 8699386150
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