What is the Least Common Multiple of 39882 and 39886?
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 39882 and 39886 is 795366726.
LCM(39882,39886) = 795366726
Least Common Multiple of 39882 and 39886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39882 and 39886, than apply into the LCM equation.
GCF(39882,39886) = 2
LCM(39882,39886) = ( 39882 × 39886) / 2
LCM(39882,39886) = 1590733452 / 2
LCM(39882,39886) = 795366726
Least Common Multiple (LCM) of 39882 and 39886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39882 and 39886. First we will calculate the prime factors of 39882 and 39886.
Prime Factorization of 39882
Prime factors of 39882 are 2, 3, 17, 23. Prime factorization of 39882 in exponential form is:
39882 = 21 × 31 × 172 × 231
Prime Factorization of 39886
Prime factors of 39886 are 2, 7, 11, 37. Prime factorization of 39886 in exponential form is:
39886 = 21 × 72 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 39882 and 39886.
LCM(39882,39886) = 21 × 31 × 172 × 231 × 72 × 111 × 371
LCM(39882,39886) = 795366726
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