What is the Least Common Multiple of 7783 and 7799?
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 7783 and 7799 is 60699617.
LCM(7783,7799) = 60699617
Least Common Multiple of 7783 and 7799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7783 and 7799, than apply into the LCM equation.
GCF(7783,7799) = 1
LCM(7783,7799) = ( 7783 × 7799) / 1
LCM(7783,7799) = 60699617 / 1
LCM(7783,7799) = 60699617
Least Common Multiple (LCM) of 7783 and 7799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7783 and 7799. First we will calculate the prime factors of 7783 and 7799.
Prime Factorization of 7783
Prime factors of 7783 are 43, 181. Prime factorization of 7783 in exponential form is:
7783 = 431 × 1811
Prime Factorization of 7799
Prime factors of 7799 are 11, 709. Prime factorization of 7799 in exponential form is:
7799 = 111 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 7783 and 7799.
LCM(7783,7799) = 431 × 1811 × 111 × 7091
LCM(7783,7799) = 60699617
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