What is the Least Common Multiple of 84527 and 84532?
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 84527 and 84532 is 7145236364.
LCM(84527,84532) = 7145236364
Least Common Multiple of 84527 and 84532 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84527 and 84532, than apply into the LCM equation.
GCF(84527,84532) = 1
LCM(84527,84532) = ( 84527 × 84532) / 1
LCM(84527,84532) = 7145236364 / 1
LCM(84527,84532) = 7145236364
Least Common Multiple (LCM) of 84527 and 84532 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84527 and 84532. First we will calculate the prime factors of 84527 and 84532.
Prime Factorization of 84527
Prime factors of 84527 are 181, 467. Prime factorization of 84527 in exponential form is:
84527 = 1811 × 4671
Prime Factorization of 84532
Prime factors of 84532 are 2, 7, 3019. Prime factorization of 84532 in exponential form is:
84532 = 22 × 71 × 30191
Now multiplying the highest exponent prime factors to calculate the LCM of 84527 and 84532.
LCM(84527,84532) = 1811 × 4671 × 22 × 71 × 30191
LCM(84527,84532) = 7145236364
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