What is the Least Common Multiple of 84271 and 84276?
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 84276 is 7102022796.
LCM(84271,84276) = 7102022796
Least Common Multiple of 84271 and 84276 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 84276, than apply into the LCM equation.
GCF(84271,84276) = 1
LCM(84271,84276) = ( 84271 × 84276) / 1
LCM(84271,84276) = 7102022796 / 1
LCM(84271,84276) = 7102022796
Least Common Multiple (LCM) of 84271 and 84276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84271 and 84276. First we will calculate the prime factors of 84271 and 84276.
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 84276
Prime factors of 84276 are 2, 3, 2341. Prime factorization of 84276 in exponential form is:
84276 = 22 × 32 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 84271 and 84276.
LCM(84271,84276) = 111 × 471 × 1631 × 22 × 32 × 23411
LCM(84271,84276) = 7102022796
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