What is the Least Common Multiple of 84865 and 84879?
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 84865 and 84879 is 7203256335.
LCM(84865,84879) = 7203256335
Least Common Multiple of 84865 and 84879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84865 and 84879, than apply into the LCM equation.
GCF(84865,84879) = 1
LCM(84865,84879) = ( 84865 × 84879) / 1
LCM(84865,84879) = 7203256335 / 1
LCM(84865,84879) = 7203256335
Least Common Multiple (LCM) of 84865 and 84879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84865 and 84879. First we will calculate the prime factors of 84865 and 84879.
Prime Factorization of 84865
Prime factors of 84865 are 5, 11, 1543. Prime factorization of 84865 in exponential form is:
84865 = 51 × 111 × 15431
Prime Factorization of 84879
Prime factors of 84879 are 3, 9431. Prime factorization of 84879 in exponential form is:
84879 = 32 × 94311
Now multiplying the highest exponent prime factors to calculate the LCM of 84865 and 84879.
LCM(84865,84879) = 51 × 111 × 15431 × 32 × 94311
LCM(84865,84879) = 7203256335
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