What is the Least Common Multiple of 40783 and 40799?
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 40783 and 40799 is 1663905617.
LCM(40783,40799) = 1663905617
Least Common Multiple of 40783 and 40799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40783 and 40799, than apply into the LCM equation.
GCF(40783,40799) = 1
LCM(40783,40799) = ( 40783 × 40799) / 1
LCM(40783,40799) = 1663905617 / 1
LCM(40783,40799) = 1663905617
Least Common Multiple (LCM) of 40783 and 40799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40783 and 40799. First we will calculate the prime factors of 40783 and 40799.
Prime Factorization of 40783
Prime factors of 40783 are 17, 2399. Prime factorization of 40783 in exponential form is:
40783 = 171 × 23991
Prime Factorization of 40799
Prime factors of 40799 are 11, 3709. Prime factorization of 40799 in exponential form is:
40799 = 111 × 37091
Now multiplying the highest exponent prime factors to calculate the LCM of 40783 and 40799.
LCM(40783,40799) = 171 × 23991 × 111 × 37091
LCM(40783,40799) = 1663905617
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