What is the Least Common Multiple of 84869 and 84878?
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 84869 and 84878 is 7203510982.
LCM(84869,84878) = 7203510982
Least Common Multiple of 84869 and 84878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84869 and 84878, than apply into the LCM equation.
GCF(84869,84878) = 1
LCM(84869,84878) = ( 84869 × 84878) / 1
LCM(84869,84878) = 7203510982 / 1
LCM(84869,84878) = 7203510982
Least Common Multiple (LCM) of 84869 and 84878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84869 and 84878. First we will calculate the prime factors of 84869 and 84878.
Prime Factorization of 84869
Prime factors of 84869 are 84869. Prime factorization of 84869 in exponential form is:
84869 = 848691
Prime Factorization of 84878
Prime factors of 84878 are 2, 31, 37. Prime factorization of 84878 in exponential form is:
84878 = 21 × 311 × 372
Now multiplying the highest exponent prime factors to calculate the LCM of 84869 and 84878.
LCM(84869,84878) = 848691 × 21 × 311 × 372
LCM(84869,84878) = 7203510982
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