What is the Least Common Multiple of 84271 and 84290?
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 84271 and 84290 is 7103202590.
LCM(84271,84290) = 7103202590
Least Common Multiple of 84271 and 84290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84271 and 84290, than apply into the LCM equation.
GCF(84271,84290) = 1
LCM(84271,84290) = ( 84271 × 84290) / 1
LCM(84271,84290) = 7103202590 / 1
LCM(84271,84290) = 7103202590
Least Common Multiple (LCM) of 84271 and 84290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84271 and 84290. First we will calculate the prime factors of 84271 and 84290.
Prime Factorization of 84271
Prime factors of 84271 are 11, 47, 163. Prime factorization of 84271 in exponential form is:
84271 = 111 × 471 × 1631
Prime Factorization of 84290
Prime factors of 84290 are 2, 5, 8429. Prime factorization of 84290 in exponential form is:
84290 = 21 × 51 × 84291
Now multiplying the highest exponent prime factors to calculate the LCM of 84271 and 84290.
LCM(84271,84290) = 111 × 471 × 1631 × 21 × 51 × 84291
LCM(84271,84290) = 7103202590
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