What is the Least Common Multiple of 84821 and 84835?
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 84821 and 84835 is 7195789535.
LCM(84821,84835) = 7195789535
Least Common Multiple of 84821 and 84835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84821 and 84835, than apply into the LCM equation.
GCF(84821,84835) = 1
LCM(84821,84835) = ( 84821 × 84835) / 1
LCM(84821,84835) = 7195789535 / 1
LCM(84821,84835) = 7195789535
Least Common Multiple (LCM) of 84821 and 84835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84821 and 84835. First we will calculate the prime factors of 84821 and 84835.
Prime Factorization of 84821
Prime factors of 84821 are 11, 701. Prime factorization of 84821 in exponential form is:
84821 = 112 × 7011
Prime Factorization of 84835
Prime factors of 84835 are 5, 19, 47. Prime factorization of 84835 in exponential form is:
84835 = 51 × 192 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 84821 and 84835.
LCM(84821,84835) = 112 × 7011 × 51 × 192 × 471
LCM(84821,84835) = 7195789535
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