What is the Least Common Multiple of 92018 and 92026?
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 92018 and 92026 is 4234024234.
LCM(92018,92026) = 4234024234
Least Common Multiple of 92018 and 92026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92018 and 92026, than apply into the LCM equation.
GCF(92018,92026) = 2
LCM(92018,92026) = ( 92018 × 92026) / 2
LCM(92018,92026) = 8468048468 / 2
LCM(92018,92026) = 4234024234
Least Common Multiple (LCM) of 92018 and 92026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92018 and 92026. First we will calculate the prime factors of 92018 and 92026.
Prime Factorization of 92018
Prime factors of 92018 are 2, 139, 331. Prime factorization of 92018 in exponential form is:
92018 = 21 × 1391 × 3311
Prime Factorization of 92026
Prime factors of 92026 are 2, 11, 47, 89. Prime factorization of 92026 in exponential form is:
92026 = 21 × 111 × 471 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 92018 and 92026.
LCM(92018,92026) = 21 × 1391 × 3311 × 111 × 471 × 891
LCM(92018,92026) = 4234024234
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