What is the Least Common Multiple of 14261 and 14276?
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 14261 and 14276 is 203590036.
LCM(14261,14276) = 203590036
Least Common Multiple of 14261 and 14276 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14261 and 14276, than apply into the LCM equation.
GCF(14261,14276) = 1
LCM(14261,14276) = ( 14261 × 14276) / 1
LCM(14261,14276) = 203590036 / 1
LCM(14261,14276) = 203590036
Least Common Multiple (LCM) of 14261 and 14276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14261 and 14276. First we will calculate the prime factors of 14261 and 14276.
Prime Factorization of 14261
Prime factors of 14261 are 13, 1097. Prime factorization of 14261 in exponential form is:
14261 = 131 × 10971
Prime Factorization of 14276
Prime factors of 14276 are 2, 43, 83. Prime factorization of 14276 in exponential form is:
14276 = 22 × 431 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 14261 and 14276.
LCM(14261,14276) = 131 × 10971 × 22 × 431 × 831
LCM(14261,14276) = 203590036
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