What is the Least Common Multiple of 12294 and 12299?
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 12294 and 12299 is 151203906.
LCM(12294,12299) = 151203906
Least Common Multiple of 12294 and 12299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12294 and 12299, than apply into the LCM equation.
GCF(12294,12299) = 1
LCM(12294,12299) = ( 12294 × 12299) / 1
LCM(12294,12299) = 151203906 / 1
LCM(12294,12299) = 151203906
Least Common Multiple (LCM) of 12294 and 12299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12294 and 12299. First we will calculate the prime factors of 12294 and 12299.
Prime Factorization of 12294
Prime factors of 12294 are 2, 3, 683. Prime factorization of 12294 in exponential form is:
12294 = 21 × 32 × 6831
Prime Factorization of 12299
Prime factors of 12299 are 7, 251. Prime factorization of 12299 in exponential form is:
12299 = 72 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 12294 and 12299.
LCM(12294,12299) = 21 × 32 × 6831 × 72 × 2511
LCM(12294,12299) = 151203906
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