What is the Least Common Multiple of 66862 and 66872?
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 66862 and 66872 is 2235597832.
LCM(66862,66872) = 2235597832
Least Common Multiple of 66862 and 66872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66862 and 66872, than apply into the LCM equation.
GCF(66862,66872) = 2
LCM(66862,66872) = ( 66862 × 66872) / 2
LCM(66862,66872) = 4471195664 / 2
LCM(66862,66872) = 2235597832
Least Common Multiple (LCM) of 66862 and 66872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66862 and 66872. First we will calculate the prime factors of 66862 and 66872.
Prime Factorization of 66862
Prime factors of 66862 are 2, 101, 331. Prime factorization of 66862 in exponential form is:
66862 = 21 × 1011 × 3311
Prime Factorization of 66872
Prime factors of 66872 are 2, 13, 643. Prime factorization of 66872 in exponential form is:
66872 = 23 × 131 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 66862 and 66872.
LCM(66862,66872) = 23 × 1011 × 3311 × 131 × 6431
LCM(66862,66872) = 2235597832
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