What is the Least Common Multiple of 11288 and 11293?
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 11288 and 11293 is 127475384.
LCM(11288,11293) = 127475384
Least Common Multiple of 11288 and 11293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11288 and 11293, than apply into the LCM equation.
GCF(11288,11293) = 1
LCM(11288,11293) = ( 11288 × 11293) / 1
LCM(11288,11293) = 127475384 / 1
LCM(11288,11293) = 127475384
Least Common Multiple (LCM) of 11288 and 11293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11288 and 11293. First we will calculate the prime factors of 11288 and 11293.
Prime Factorization of 11288
Prime factors of 11288 are 2, 17, 83. Prime factorization of 11288 in exponential form is:
11288 = 23 × 171 × 831
Prime Factorization of 11293
Prime factors of 11293 are 23, 491. Prime factorization of 11293 in exponential form is:
11293 = 231 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 11288 and 11293.
LCM(11288,11293) = 23 × 171 × 831 × 231 × 4911
LCM(11288,11293) = 127475384
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