What is the Least Common Multiple of 39789 and 39794?
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 39789 and 39794 is 1583363466.
LCM(39789,39794) = 1583363466
Least Common Multiple of 39789 and 39794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39789 and 39794, than apply into the LCM equation.
GCF(39789,39794) = 1
LCM(39789,39794) = ( 39789 × 39794) / 1
LCM(39789,39794) = 1583363466 / 1
LCM(39789,39794) = 1583363466
Least Common Multiple (LCM) of 39789 and 39794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39789 and 39794. First we will calculate the prime factors of 39789 and 39794.
Prime Factorization of 39789
Prime factors of 39789 are 3, 4421. Prime factorization of 39789 in exponential form is:
39789 = 32 × 44211
Prime Factorization of 39794
Prime factors of 39794 are 2, 101, 197. Prime factorization of 39794 in exponential form is:
39794 = 21 × 1011 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 39789 and 39794.
LCM(39789,39794) = 32 × 44211 × 21 × 1011 × 1971
LCM(39789,39794) = 1583363466
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