What is the Least Common Multiple of 35847 and 35851?
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 35847 and 35851 is 1285150797.
LCM(35847,35851) = 1285150797
Least Common Multiple of 35847 and 35851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35847 and 35851, than apply into the LCM equation.
GCF(35847,35851) = 1
LCM(35847,35851) = ( 35847 × 35851) / 1
LCM(35847,35851) = 1285150797 / 1
LCM(35847,35851) = 1285150797
Least Common Multiple (LCM) of 35847 and 35851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35847 and 35851. First we will calculate the prime factors of 35847 and 35851.
Prime Factorization of 35847
Prime factors of 35847 are 3, 7, 569. Prime factorization of 35847 in exponential form is:
35847 = 32 × 71 × 5691
Prime Factorization of 35851
Prime factors of 35851 are 35851. Prime factorization of 35851 in exponential form is:
35851 = 358511
Now multiplying the highest exponent prime factors to calculate the LCM of 35847 and 35851.
LCM(35847,35851) = 32 × 71 × 5691 × 358511
LCM(35847,35851) = 1285150797
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