What is the Least Common Multiple of 39874 and 39891?
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 39874 and 39891 is 1590613734.
LCM(39874,39891) = 1590613734
Least Common Multiple of 39874 and 39891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39874 and 39891, than apply into the LCM equation.
GCF(39874,39891) = 1
LCM(39874,39891) = ( 39874 × 39891) / 1
LCM(39874,39891) = 1590613734 / 1
LCM(39874,39891) = 1590613734
Least Common Multiple (LCM) of 39874 and 39891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39874 and 39891. First we will calculate the prime factors of 39874 and 39891.
Prime Factorization of 39874
Prime factors of 39874 are 2, 19937. Prime factorization of 39874 in exponential form is:
39874 = 21 × 199371
Prime Factorization of 39891
Prime factors of 39891 are 3, 13297. Prime factorization of 39891 in exponential form is:
39891 = 31 × 132971
Now multiplying the highest exponent prime factors to calculate the LCM of 39874 and 39891.
LCM(39874,39891) = 21 × 199371 × 31 × 132971
LCM(39874,39891) = 1590613734
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