What is the Least Common Multiple of 84455 and 84466?
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 84455 and 84466 is 7133576030.
LCM(84455,84466) = 7133576030
Least Common Multiple of 84455 and 84466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84455 and 84466, than apply into the LCM equation.
GCF(84455,84466) = 1
LCM(84455,84466) = ( 84455 × 84466) / 1
LCM(84455,84466) = 7133576030 / 1
LCM(84455,84466) = 7133576030
Least Common Multiple (LCM) of 84455 and 84466 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84455 and 84466. First we will calculate the prime factors of 84455 and 84466.
Prime Factorization of 84455
Prime factors of 84455 are 5, 7, 19, 127. Prime factorization of 84455 in exponential form is:
84455 = 51 × 71 × 191 × 1271
Prime Factorization of 84466
Prime factors of 84466 are 2, 157, 269. Prime factorization of 84466 in exponential form is:
84466 = 21 × 1571 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 84455 and 84466.
LCM(84455,84466) = 51 × 71 × 191 × 1271 × 21 × 1571 × 2691
LCM(84455,84466) = 7133576030
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