What is the Least Common Multiple of 84833 and 84852?
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 84833 and 84852 is 7198249716.
LCM(84833,84852) = 7198249716
Least Common Multiple of 84833 and 84852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84833 and 84852, than apply into the LCM equation.
GCF(84833,84852) = 1
LCM(84833,84852) = ( 84833 × 84852) / 1
LCM(84833,84852) = 7198249716 / 1
LCM(84833,84852) = 7198249716
Least Common Multiple (LCM) of 84833 and 84852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84833 and 84852. First we will calculate the prime factors of 84833 and 84852.
Prime Factorization of 84833
Prime factors of 84833 are 7, 12119. Prime factorization of 84833 in exponential form is:
84833 = 71 × 121191
Prime Factorization of 84852
Prime factors of 84852 are 2, 3, 2357. Prime factorization of 84852 in exponential form is:
84852 = 22 × 32 × 23571
Now multiplying the highest exponent prime factors to calculate the LCM of 84833 and 84852.
LCM(84833,84852) = 71 × 121191 × 22 × 32 × 23571
LCM(84833,84852) = 7198249716
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