What is the Least Common Multiple of 40786 and 40803?
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 40786 and 40803 is 1664191158.
LCM(40786,40803) = 1664191158
Least Common Multiple of 40786 and 40803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40786 and 40803, than apply into the LCM equation.
GCF(40786,40803) = 1
LCM(40786,40803) = ( 40786 × 40803) / 1
LCM(40786,40803) = 1664191158 / 1
LCM(40786,40803) = 1664191158
Least Common Multiple (LCM) of 40786 and 40803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40786 and 40803. First we will calculate the prime factors of 40786 and 40803.
Prime Factorization of 40786
Prime factors of 40786 are 2, 20393. Prime factorization of 40786 in exponential form is:
40786 = 21 × 203931
Prime Factorization of 40803
Prime factors of 40803 are 3, 7, 29, 67. Prime factorization of 40803 in exponential form is:
40803 = 31 × 71 × 291 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 40786 and 40803.
LCM(40786,40803) = 21 × 203931 × 31 × 71 × 291 × 671
LCM(40786,40803) = 1664191158
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