What is the Least Common Multiple of 39881 and 39889?
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 39881 and 39889 is 1590813209.
LCM(39881,39889) = 1590813209
Least Common Multiple of 39881 and 39889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39881 and 39889, than apply into the LCM equation.
GCF(39881,39889) = 1
LCM(39881,39889) = ( 39881 × 39889) / 1
LCM(39881,39889) = 1590813209 / 1
LCM(39881,39889) = 1590813209
Least Common Multiple (LCM) of 39881 and 39889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39881 and 39889. First we will calculate the prime factors of 39881 and 39889.
Prime Factorization of 39881
Prime factors of 39881 are 19, 2099. Prime factorization of 39881 in exponential form is:
39881 = 191 × 20991
Prime Factorization of 39889
Prime factors of 39889 are 113, 353. Prime factorization of 39889 in exponential form is:
39889 = 1131 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 39881 and 39889.
LCM(39881,39889) = 191 × 20991 × 1131 × 3531
LCM(39881,39889) = 1590813209
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