What is the Least Common Multiple of 40147 and 40166?
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 40147 and 40166 is 84870758.
LCM(40147,40166) = 84870758
Least Common Multiple of 40147 and 40166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40147 and 40166, than apply into the LCM equation.
GCF(40147,40166) = 19
LCM(40147,40166) = ( 40147 × 40166) / 19
LCM(40147,40166) = 1612544402 / 19
LCM(40147,40166) = 84870758
Least Common Multiple (LCM) of 40147 and 40166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40147 and 40166. First we will calculate the prime factors of 40147 and 40166.
Prime Factorization of 40147
Prime factors of 40147 are 19, 2113. Prime factorization of 40147 in exponential form is:
40147 = 191 × 21131
Prime Factorization of 40166
Prime factors of 40166 are 2, 7, 19, 151. Prime factorization of 40166 in exponential form is:
40166 = 21 × 71 × 191 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 40147 and 40166.
LCM(40147,40166) = 191 × 21131 × 21 × 71 × 1511
LCM(40147,40166) = 84870758
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