What is the Least Common Multiple of 91184 and 91199?
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 91184 and 91199 is 8315889616.
LCM(91184,91199) = 8315889616
Least Common Multiple of 91184 and 91199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91184 and 91199, than apply into the LCM equation.
GCF(91184,91199) = 1
LCM(91184,91199) = ( 91184 × 91199) / 1
LCM(91184,91199) = 8315889616 / 1
LCM(91184,91199) = 8315889616
Least Common Multiple (LCM) of 91184 and 91199 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91184 and 91199. First we will calculate the prime factors of 91184 and 91199.
Prime Factorization of 91184
Prime factors of 91184 are 2, 41, 139. Prime factorization of 91184 in exponential form is:
91184 = 24 × 411 × 1391
Prime Factorization of 91199
Prime factors of 91199 are 91199. Prime factorization of 91199 in exponential form is:
91199 = 911991
Now multiplying the highest exponent prime factors to calculate the LCM of 91184 and 91199.
LCM(91184,91199) = 24 × 411 × 1391 × 911991
LCM(91184,91199) = 8315889616
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