What is the Least Common Multiple of 59081 and 59099?
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 59081 and 59099 is 3491628019.
LCM(59081,59099) = 3491628019
Least Common Multiple of 59081 and 59099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59081 and 59099, than apply into the LCM equation.
GCF(59081,59099) = 1
LCM(59081,59099) = ( 59081 × 59099) / 1
LCM(59081,59099) = 3491628019 / 1
LCM(59081,59099) = 3491628019
Least Common Multiple (LCM) of 59081 and 59099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59081 and 59099. First we will calculate the prime factors of 59081 and 59099.
Prime Factorization of 59081
Prime factors of 59081 are 11, 41, 131. Prime factorization of 59081 in exponential form is:
59081 = 111 × 411 × 1311
Prime Factorization of 59099
Prime factors of 59099 are 113, 523. Prime factorization of 59099 in exponential form is:
59099 = 1131 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 59081 and 59099.
LCM(59081,59099) = 111 × 411 × 1311 × 1131 × 5231
LCM(59081,59099) = 3491628019
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