What is the Least Common Multiple of 65158 and 65166?
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 65158 and 65166 is 2123043114.
LCM(65158,65166) = 2123043114
Least Common Multiple of 65158 and 65166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65158 and 65166, than apply into the LCM equation.
GCF(65158,65166) = 2
LCM(65158,65166) = ( 65158 × 65166) / 2
LCM(65158,65166) = 4246086228 / 2
LCM(65158,65166) = 2123043114
Least Common Multiple (LCM) of 65158 and 65166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65158 and 65166. First we will calculate the prime factors of 65158 and 65166.
Prime Factorization of 65158
Prime factors of 65158 are 2, 32579. Prime factorization of 65158 in exponential form is:
65158 = 21 × 325791
Prime Factorization of 65166
Prime factors of 65166 are 2, 3, 10861. Prime factorization of 65166 in exponential form is:
65166 = 21 × 31 × 108611
Now multiplying the highest exponent prime factors to calculate the LCM of 65158 and 65166.
LCM(65158,65166) = 21 × 325791 × 31 × 108611
LCM(65158,65166) = 2123043114
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