What is the Least Common Multiple of 35159 and 35166?
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 35159 and 35166 is 1236401394.
LCM(35159,35166) = 1236401394
Least Common Multiple of 35159 and 35166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35159 and 35166, than apply into the LCM equation.
GCF(35159,35166) = 1
LCM(35159,35166) = ( 35159 × 35166) / 1
LCM(35159,35166) = 1236401394 / 1
LCM(35159,35166) = 1236401394
Least Common Multiple (LCM) of 35159 and 35166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35159 and 35166. First we will calculate the prime factors of 35159 and 35166.
Prime Factorization of 35159
Prime factors of 35159 are 35159. Prime factorization of 35159 in exponential form is:
35159 = 351591
Prime Factorization of 35166
Prime factors of 35166 are 2, 3, 5861. Prime factorization of 35166 in exponential form is:
35166 = 21 × 31 × 58611
Now multiplying the highest exponent prime factors to calculate the LCM of 35159 and 35166.
LCM(35159,35166) = 351591 × 21 × 31 × 58611
LCM(35159,35166) = 1236401394
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