What is the Least Common Multiple of 93245 and 93253?
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 93245 and 93253 is 8695375985.
LCM(93245,93253) = 8695375985
Least Common Multiple of 93245 and 93253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93245 and 93253, than apply into the LCM equation.
GCF(93245,93253) = 1
LCM(93245,93253) = ( 93245 × 93253) / 1
LCM(93245,93253) = 8695375985 / 1
LCM(93245,93253) = 8695375985
Least Common Multiple (LCM) of 93245 and 93253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93245 and 93253. First we will calculate the prime factors of 93245 and 93253.
Prime Factorization of 93245
Prime factors of 93245 are 5, 17, 1097. Prime factorization of 93245 in exponential form is:
93245 = 51 × 171 × 10971
Prime Factorization of 93253
Prime factors of 93253 are 93253. Prime factorization of 93253 in exponential form is:
93253 = 932531
Now multiplying the highest exponent prime factors to calculate the LCM of 93245 and 93253.
LCM(93245,93253) = 51 × 171 × 10971 × 932531
LCM(93245,93253) = 8695375985
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