What is the Least Common Multiple of 12287 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 12287 and 12299 is 151117813.
LCM(12287,12299) = 151117813
Least Common Multiple of 12287 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 12287 and 12299, than apply into the LCM equation.
GCF(12287,12299) = 1
LCM(12287,12299) = ( 12287 × 12299) / 1
LCM(12287,12299) = 151117813 / 1
LCM(12287,12299) = 151117813
Least Common Multiple (LCM) of 12287 and 12299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12287 and 12299. First we will calculate the prime factors of 12287 and 12299.
Prime Factorization of 12287
Prime factors of 12287 are 11, 1117. Prime factorization of 12287 in exponential form is:
12287 = 111 × 11171
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 12287 and 12299.
LCM(12287,12299) = 111 × 11171 × 72 × 2511
LCM(12287,12299) = 151117813
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