What is the Least Common Multiple of 11603 and 11620?
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 11603 and 11620 is 134826860.
LCM(11603,11620) = 134826860
Least Common Multiple of 11603 and 11620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11603 and 11620, than apply into the LCM equation.
GCF(11603,11620) = 1
LCM(11603,11620) = ( 11603 × 11620) / 1
LCM(11603,11620) = 134826860 / 1
LCM(11603,11620) = 134826860
Least Common Multiple (LCM) of 11603 and 11620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11603 and 11620. First we will calculate the prime factors of 11603 and 11620.
Prime Factorization of 11603
Prime factors of 11603 are 41, 283. Prime factorization of 11603 in exponential form is:
11603 = 411 × 2831
Prime Factorization of 11620
Prime factors of 11620 are 2, 5, 7, 83. Prime factorization of 11620 in exponential form is:
11620 = 22 × 51 × 71 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 11603 and 11620.
LCM(11603,11620) = 411 × 2831 × 22 × 51 × 71 × 831
LCM(11603,11620) = 134826860
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