What is the Least Common Multiple of 84265 and 84282?
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 84265 and 84282 is 7102022730.
LCM(84265,84282) = 7102022730
Least Common Multiple of 84265 and 84282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84265 and 84282, than apply into the LCM equation.
GCF(84265,84282) = 1
LCM(84265,84282) = ( 84265 × 84282) / 1
LCM(84265,84282) = 7102022730 / 1
LCM(84265,84282) = 7102022730
Least Common Multiple (LCM) of 84265 and 84282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84265 and 84282. First we will calculate the prime factors of 84265 and 84282.
Prime Factorization of 84265
Prime factors of 84265 are 5, 19, 887. Prime factorization of 84265 in exponential form is:
84265 = 51 × 191 × 8871
Prime Factorization of 84282
Prime factors of 84282 are 2, 3, 11, 1277. Prime factorization of 84282 in exponential form is:
84282 = 21 × 31 × 111 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 84265 and 84282.
LCM(84265,84282) = 51 × 191 × 8871 × 21 × 31 × 111 × 12771
LCM(84265,84282) = 7102022730
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