What is the Least Common Multiple of 84839 and 84859?
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 84839 and 84859 is 7199352701.
LCM(84839,84859) = 7199352701
Least Common Multiple of 84839 and 84859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84839 and 84859, than apply into the LCM equation.
GCF(84839,84859) = 1
LCM(84839,84859) = ( 84839 × 84859) / 1
LCM(84839,84859) = 7199352701 / 1
LCM(84839,84859) = 7199352701
Least Common Multiple (LCM) of 84839 and 84859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84839 and 84859. First we will calculate the prime factors of 84839 and 84859.
Prime Factorization of 84839
Prime factors of 84839 are 43, 1973. Prime factorization of 84839 in exponential form is:
84839 = 431 × 19731
Prime Factorization of 84859
Prime factors of 84859 are 84859. Prime factorization of 84859 in exponential form is:
84859 = 848591
Now multiplying the highest exponent prime factors to calculate the LCM of 84839 and 84859.
LCM(84839,84859) = 431 × 19731 × 848591
LCM(84839,84859) = 7199352701
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