What is the Least Common Multiple of 12263 and 12276?
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 12263 and 12276 is 150540588.
LCM(12263,12276) = 150540588
Least Common Multiple of 12263 and 12276 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12263 and 12276, than apply into the LCM equation.
GCF(12263,12276) = 1
LCM(12263,12276) = ( 12263 × 12276) / 1
LCM(12263,12276) = 150540588 / 1
LCM(12263,12276) = 150540588
Least Common Multiple (LCM) of 12263 and 12276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12263 and 12276. First we will calculate the prime factors of 12263 and 12276.
Prime Factorization of 12263
Prime factors of 12263 are 12263. Prime factorization of 12263 in exponential form is:
12263 = 122631
Prime Factorization of 12276
Prime factors of 12276 are 2, 3, 11, 31. Prime factorization of 12276 in exponential form is:
12276 = 22 × 32 × 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 12263 and 12276.
LCM(12263,12276) = 122631 × 22 × 32 × 111 × 311
LCM(12263,12276) = 150540588
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