What is the Least Common Multiple of 40777 and 40785?
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 40777 and 40785 is 1663089945.
LCM(40777,40785) = 1663089945
Least Common Multiple of 40777 and 40785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40777 and 40785, than apply into the LCM equation.
GCF(40777,40785) = 1
LCM(40777,40785) = ( 40777 × 40785) / 1
LCM(40777,40785) = 1663089945 / 1
LCM(40777,40785) = 1663089945
Least Common Multiple (LCM) of 40777 and 40785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40777 and 40785. First we will calculate the prime factors of 40777 and 40785.
Prime Factorization of 40777
Prime factors of 40777 are 11, 337. Prime factorization of 40777 in exponential form is:
40777 = 112 × 3371
Prime Factorization of 40785
Prime factors of 40785 are 3, 5, 2719. Prime factorization of 40785 in exponential form is:
40785 = 31 × 51 × 27191
Now multiplying the highest exponent prime factors to calculate the LCM of 40777 and 40785.
LCM(40777,40785) = 112 × 3371 × 31 × 51 × 27191
LCM(40777,40785) = 1663089945
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