What is the Least Common Multiple of 91162 and 91173?
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 91162 and 91173 is 8311513026.
LCM(91162,91173) = 8311513026
Least Common Multiple of 91162 and 91173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91162 and 91173, than apply into the LCM equation.
GCF(91162,91173) = 1
LCM(91162,91173) = ( 91162 × 91173) / 1
LCM(91162,91173) = 8311513026 / 1
LCM(91162,91173) = 8311513026
Least Common Multiple (LCM) of 91162 and 91173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91162 and 91173. First we will calculate the prime factors of 91162 and 91173.
Prime Factorization of 91162
Prime factors of 91162 are 2, 19, 2399. Prime factorization of 91162 in exponential form is:
91162 = 21 × 191 × 23991
Prime Factorization of 91173
Prime factors of 91173 are 3, 30391. Prime factorization of 91173 in exponential form is:
91173 = 31 × 303911
Now multiplying the highest exponent prime factors to calculate the LCM of 91162 and 91173.
LCM(91162,91173) = 21 × 191 × 23991 × 31 × 303911
LCM(91162,91173) = 8311513026
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