What is the Least Common Multiple of 35161 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 35161 and 35166 is 1236471726.
LCM(35161,35166) = 1236471726
Least Common Multiple of 35161 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 35161 and 35166, than apply into the LCM equation.
GCF(35161,35166) = 1
LCM(35161,35166) = ( 35161 × 35166) / 1
LCM(35161,35166) = 1236471726 / 1
LCM(35161,35166) = 1236471726
Least Common Multiple (LCM) of 35161 and 35166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35161 and 35166. First we will calculate the prime factors of 35161 and 35166.
Prime Factorization of 35161
Prime factors of 35161 are 7, 5023. Prime factorization of 35161 in exponential form is:
35161 = 71 × 50231
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 35161 and 35166.
LCM(35161,35166) = 71 × 50231 × 21 × 31 × 58611
LCM(35161,35166) = 1236471726
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