What is the Least Common Multiple of 35859 and 35863?
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 35859 and 35863 is 1286011317.
LCM(35859,35863) = 1286011317
Least Common Multiple of 35859 and 35863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35859 and 35863, than apply into the LCM equation.
GCF(35859,35863) = 1
LCM(35859,35863) = ( 35859 × 35863) / 1
LCM(35859,35863) = 1286011317 / 1
LCM(35859,35863) = 1286011317
Least Common Multiple (LCM) of 35859 and 35863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35859 and 35863. First we will calculate the prime factors of 35859 and 35863.
Prime Factorization of 35859
Prime factors of 35859 are 3, 11953. Prime factorization of 35859 in exponential form is:
35859 = 31 × 119531
Prime Factorization of 35863
Prime factors of 35863 are 35863. Prime factorization of 35863 in exponential form is:
35863 = 358631
Now multiplying the highest exponent prime factors to calculate the LCM of 35859 and 35863.
LCM(35859,35863) = 31 × 119531 × 358631
LCM(35859,35863) = 1286011317
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