What is the Least Common Multiple of 11763 and 11773?
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 11763 and 11773 is 138485799.
LCM(11763,11773) = 138485799
Least Common Multiple of 11763 and 11773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11763 and 11773, than apply into the LCM equation.
GCF(11763,11773) = 1
LCM(11763,11773) = ( 11763 × 11773) / 1
LCM(11763,11773) = 138485799 / 1
LCM(11763,11773) = 138485799
Least Common Multiple (LCM) of 11763 and 11773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11763 and 11773. First we will calculate the prime factors of 11763 and 11773.
Prime Factorization of 11763
Prime factors of 11763 are 3, 1307. Prime factorization of 11763 in exponential form is:
11763 = 32 × 13071
Prime Factorization of 11773
Prime factors of 11773 are 61, 193. Prime factorization of 11773 in exponential form is:
11773 = 611 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 11763 and 11773.
LCM(11763,11773) = 32 × 13071 × 611 × 1931
LCM(11763,11773) = 138485799
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