What is the Least Common Multiple of 85423 and 85433?
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 85423 and 85433 is 7297943159.
LCM(85423,85433) = 7297943159
Least Common Multiple of 85423 and 85433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85423 and 85433, than apply into the LCM equation.
GCF(85423,85433) = 1
LCM(85423,85433) = ( 85423 × 85433) / 1
LCM(85423,85433) = 7297943159 / 1
LCM(85423,85433) = 7297943159
Least Common Multiple (LCM) of 85423 and 85433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85423 and 85433. First we will calculate the prime factors of 85423 and 85433.
Prime Factorization of 85423
Prime factors of 85423 are 13, 6571. Prime factorization of 85423 in exponential form is:
85423 = 131 × 65711
Prime Factorization of 85433
Prime factors of 85433 are 37, 2309. Prime factorization of 85433 in exponential form is:
85433 = 371 × 23091
Now multiplying the highest exponent prime factors to calculate the LCM of 85423 and 85433.
LCM(85423,85433) = 131 × 65711 × 371 × 23091
LCM(85423,85433) = 7297943159
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