What is the Least Common Multiple of 92081 and 92089?
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 92081 and 92089 is 8479647209.
LCM(92081,92089) = 8479647209
Least Common Multiple of 92081 and 92089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92081 and 92089, than apply into the LCM equation.
GCF(92081,92089) = 1
LCM(92081,92089) = ( 92081 × 92089) / 1
LCM(92081,92089) = 8479647209 / 1
LCM(92081,92089) = 8479647209
Least Common Multiple (LCM) of 92081 and 92089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92081 and 92089. First we will calculate the prime factors of 92081 and 92089.
Prime Factorization of 92081
Prime factors of 92081 are 11, 761. Prime factorization of 92081 in exponential form is:
92081 = 112 × 7611
Prime Factorization of 92089
Prime factors of 92089 are 17, 5417. Prime factorization of 92089 in exponential form is:
92089 = 171 × 54171
Now multiplying the highest exponent prime factors to calculate the LCM of 92081 and 92089.
LCM(92081,92089) = 112 × 7611 × 171 × 54171
LCM(92081,92089) = 8479647209
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