What is the Least Common Multiple of 93179 and 93188?
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 93179 and 93188 is 8683164652.
LCM(93179,93188) = 8683164652
Least Common Multiple of 93179 and 93188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93179 and 93188, than apply into the LCM equation.
GCF(93179,93188) = 1
LCM(93179,93188) = ( 93179 × 93188) / 1
LCM(93179,93188) = 8683164652 / 1
LCM(93179,93188) = 8683164652
Least Common Multiple (LCM) of 93179 and 93188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93179 and 93188. First we will calculate the prime factors of 93179 and 93188.
Prime Factorization of 93179
Prime factors of 93179 are 93179. Prime factorization of 93179 in exponential form is:
93179 = 931791
Prime Factorization of 93188
Prime factors of 93188 are 2, 23297. Prime factorization of 93188 in exponential form is:
93188 = 22 × 232971
Now multiplying the highest exponent prime factors to calculate the LCM of 93179 and 93188.
LCM(93179,93188) = 931791 × 22 × 232971
LCM(93179,93188) = 8683164652
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