What is the Least Common Multiple of 93089 and 93098?
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 93089 and 93098 is 8666399722.
LCM(93089,93098) = 8666399722
Least Common Multiple of 93089 and 93098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93089 and 93098, than apply into the LCM equation.
GCF(93089,93098) = 1
LCM(93089,93098) = ( 93089 × 93098) / 1
LCM(93089,93098) = 8666399722 / 1
LCM(93089,93098) = 8666399722
Least Common Multiple (LCM) of 93089 and 93098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93089 and 93098. First we will calculate the prime factors of 93089 and 93098.
Prime Factorization of 93089
Prime factors of 93089 are 93089. Prime factorization of 93089 in exponential form is:
93089 = 930891
Prime Factorization of 93098
Prime factors of 93098 are 2, 46549. Prime factorization of 93098 in exponential form is:
93098 = 21 × 465491
Now multiplying the highest exponent prime factors to calculate the LCM of 93089 and 93098.
LCM(93089,93098) = 930891 × 21 × 465491
LCM(93089,93098) = 8666399722
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