What is the Least Common Multiple of 84841 and 84857?
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 84841 and 84857 is 7199352737.
LCM(84841,84857) = 7199352737
Least Common Multiple of 84841 and 84857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84841 and 84857, than apply into the LCM equation.
GCF(84841,84857) = 1
LCM(84841,84857) = ( 84841 × 84857) / 1
LCM(84841,84857) = 7199352737 / 1
LCM(84841,84857) = 7199352737
Least Common Multiple (LCM) of 84841 and 84857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84841 and 84857. First we will calculate the prime factors of 84841 and 84857.
Prime Factorization of 84841
Prime factors of 84841 are 37, 2293. Prime factorization of 84841 in exponential form is:
84841 = 371 × 22931
Prime Factorization of 84857
Prime factors of 84857 are 84857. Prime factorization of 84857 in exponential form is:
84857 = 848571
Now multiplying the highest exponent prime factors to calculate the LCM of 84841 and 84857.
LCM(84841,84857) = 371 × 22931 × 848571
LCM(84841,84857) = 7199352737
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