What is the Least Common Multiple of 11273 and 11283?
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 11273 and 11283 is 127193259.
LCM(11273,11283) = 127193259
Least Common Multiple of 11273 and 11283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11273 and 11283, than apply into the LCM equation.
GCF(11273,11283) = 1
LCM(11273,11283) = ( 11273 × 11283) / 1
LCM(11273,11283) = 127193259 / 1
LCM(11273,11283) = 127193259
Least Common Multiple (LCM) of 11273 and 11283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11273 and 11283. First we will calculate the prime factors of 11273 and 11283.
Prime Factorization of 11273
Prime factors of 11273 are 11273. Prime factorization of 11273 in exponential form is:
11273 = 112731
Prime Factorization of 11283
Prime factors of 11283 are 3, 3761. Prime factorization of 11283 in exponential form is:
11283 = 31 × 37611
Now multiplying the highest exponent prime factors to calculate the LCM of 11273 and 11283.
LCM(11273,11283) = 112731 × 31 × 37611
LCM(11273,11283) = 127193259
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