What is the Least Common Multiple of 92194 and 92199?
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 92194 and 92199 is 8500194606.
LCM(92194,92199) = 8500194606
Least Common Multiple of 92194 and 92199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92194 and 92199, than apply into the LCM equation.
GCF(92194,92199) = 1
LCM(92194,92199) = ( 92194 × 92199) / 1
LCM(92194,92199) = 8500194606 / 1
LCM(92194,92199) = 8500194606
Least Common Multiple (LCM) of 92194 and 92199 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92194 and 92199. First we will calculate the prime factors of 92194 and 92199.
Prime Factorization of 92194
Prime factors of 92194 are 2, 31, 1487. Prime factorization of 92194 in exponential form is:
92194 = 21 × 311 × 14871
Prime Factorization of 92199
Prime factors of 92199 are 3, 73, 421. Prime factorization of 92199 in exponential form is:
92199 = 31 × 731 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 92194 and 92199.
LCM(92194,92199) = 21 × 311 × 14871 × 31 × 731 × 4211
LCM(92194,92199) = 8500194606
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