What is the Least Common Multiple of 62207 and 62223?
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 62207 and 62223 is 3870706161.
LCM(62207,62223) = 3870706161
Least Common Multiple of 62207 and 62223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62207 and 62223, than apply into the LCM equation.
GCF(62207,62223) = 1
LCM(62207,62223) = ( 62207 × 62223) / 1
LCM(62207,62223) = 3870706161 / 1
LCM(62207,62223) = 3870706161
Least Common Multiple (LCM) of 62207 and 62223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62207 and 62223. First we will calculate the prime factors of 62207 and 62223.
Prime Factorization of 62207
Prime factors of 62207 are 62207. Prime factorization of 62207 in exponential form is:
62207 = 622071
Prime Factorization of 62223
Prime factors of 62223 are 3, 7, 2963. Prime factorization of 62223 in exponential form is:
62223 = 31 × 71 × 29631
Now multiplying the highest exponent prime factors to calculate the LCM of 62207 and 62223.
LCM(62207,62223) = 622071 × 31 × 71 × 29631
LCM(62207,62223) = 3870706161
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