What is the Least Common Multiple of 60223 and 60231?
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 60223 and 60231 is 3627291513.
LCM(60223,60231) = 3627291513
Least Common Multiple of 60223 and 60231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60223 and 60231, than apply into the LCM equation.
GCF(60223,60231) = 1
LCM(60223,60231) = ( 60223 × 60231) / 1
LCM(60223,60231) = 3627291513 / 1
LCM(60223,60231) = 3627291513
Least Common Multiple (LCM) of 60223 and 60231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60223 and 60231. First we will calculate the prime factors of 60223 and 60231.
Prime Factorization of 60223
Prime factors of 60223 are 60223. Prime factorization of 60223 in exponential form is:
60223 = 602231
Prime Factorization of 60231
Prime factors of 60231 are 3, 17, 1181. Prime factorization of 60231 in exponential form is:
60231 = 31 × 171 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 60223 and 60231.
LCM(60223,60231) = 602231 × 31 × 171 × 11811
LCM(60223,60231) = 3627291513
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