What is the Least Common Multiple of 71269 and 71286?
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 71269 and 71286 is 5080481934.
LCM(71269,71286) = 5080481934
Least Common Multiple of 71269 and 71286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71269 and 71286, than apply into the LCM equation.
GCF(71269,71286) = 1
LCM(71269,71286) = ( 71269 × 71286) / 1
LCM(71269,71286) = 5080481934 / 1
LCM(71269,71286) = 5080481934
Least Common Multiple (LCM) of 71269 and 71286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71269 and 71286. First we will calculate the prime factors of 71269 and 71286.
Prime Factorization of 71269
Prime factors of 71269 are 11, 19, 31. Prime factorization of 71269 in exponential form is:
71269 = 112 × 191 × 311
Prime Factorization of 71286
Prime factors of 71286 are 2, 3, 109. Prime factorization of 71286 in exponential form is:
71286 = 21 × 31 × 1092
Now multiplying the highest exponent prime factors to calculate the LCM of 71269 and 71286.
LCM(71269,71286) = 112 × 191 × 311 × 21 × 31 × 1092
LCM(71269,71286) = 5080481934
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