What is the Least Common Multiple of 60263 and 60267?
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 60263 and 60267 is 3631870221.
LCM(60263,60267) = 3631870221
Least Common Multiple of 60263 and 60267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60263 and 60267, than apply into the LCM equation.
GCF(60263,60267) = 1
LCM(60263,60267) = ( 60263 × 60267) / 1
LCM(60263,60267) = 3631870221 / 1
LCM(60263,60267) = 3631870221
Least Common Multiple (LCM) of 60263 and 60267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60263 and 60267. First we will calculate the prime factors of 60263 and 60267.
Prime Factorization of 60263
Prime factors of 60263 are 7, 8609. Prime factorization of 60263 in exponential form is:
60263 = 71 × 86091
Prime Factorization of 60267
Prime factors of 60267 are 3, 20089. Prime factorization of 60267 in exponential form is:
60267 = 31 × 200891
Now multiplying the highest exponent prime factors to calculate the LCM of 60263 and 60267.
LCM(60263,60267) = 71 × 86091 × 31 × 200891
LCM(60263,60267) = 3631870221
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