What is the Least Common Multiple of 84207 and 84211?
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 84207 and 84211 is 7091155677.
LCM(84207,84211) = 7091155677
Least Common Multiple of 84207 and 84211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84207 and 84211, than apply into the LCM equation.
GCF(84207,84211) = 1
LCM(84207,84211) = ( 84207 × 84211) / 1
LCM(84207,84211) = 7091155677 / 1
LCM(84207,84211) = 7091155677
Least Common Multiple (LCM) of 84207 and 84211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84207 and 84211. First we will calculate the prime factors of 84207 and 84211.
Prime Factorization of 84207
Prime factors of 84207 are 3, 28069. Prime factorization of 84207 in exponential form is:
84207 = 31 × 280691
Prime Factorization of 84211
Prime factors of 84211 are 84211. Prime factorization of 84211 in exponential form is:
84211 = 842111
Now multiplying the highest exponent prime factors to calculate the LCM of 84207 and 84211.
LCM(84207,84211) = 31 × 280691 × 842111
LCM(84207,84211) = 7091155677
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