What is the Least Common Multiple of 6259 and 6267?
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 6259 and 6267 is 39225153.
LCM(6259,6267) = 39225153
Least Common Multiple of 6259 and 6267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6259 and 6267, than apply into the LCM equation.
GCF(6259,6267) = 1
LCM(6259,6267) = ( 6259 × 6267) / 1
LCM(6259,6267) = 39225153 / 1
LCM(6259,6267) = 39225153
Least Common Multiple (LCM) of 6259 and 6267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6259 and 6267. First we will calculate the prime factors of 6259 and 6267.
Prime Factorization of 6259
Prime factors of 6259 are 11, 569. Prime factorization of 6259 in exponential form is:
6259 = 111 × 5691
Prime Factorization of 6267
Prime factors of 6267 are 3, 2089. Prime factorization of 6267 in exponential form is:
6267 = 31 × 20891
Now multiplying the highest exponent prime factors to calculate the LCM of 6259 and 6267.
LCM(6259,6267) = 111 × 5691 × 31 × 20891
LCM(6259,6267) = 39225153
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