What is the Least Common Multiple of 40780 and 40789?
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 40780 and 40789 is 1663375420.
LCM(40780,40789) = 1663375420
Least Common Multiple of 40780 and 40789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40780 and 40789, than apply into the LCM equation.
GCF(40780,40789) = 1
LCM(40780,40789) = ( 40780 × 40789) / 1
LCM(40780,40789) = 1663375420 / 1
LCM(40780,40789) = 1663375420
Least Common Multiple (LCM) of 40780 and 40789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40780 and 40789. First we will calculate the prime factors of 40780 and 40789.
Prime Factorization of 40780
Prime factors of 40780 are 2, 5, 2039. Prime factorization of 40780 in exponential form is:
40780 = 22 × 51 × 20391
Prime Factorization of 40789
Prime factors of 40789 are 7, 5827. Prime factorization of 40789 in exponential form is:
40789 = 71 × 58271
Now multiplying the highest exponent prime factors to calculate the LCM of 40780 and 40789.
LCM(40780,40789) = 22 × 51 × 20391 × 71 × 58271
LCM(40780,40789) = 1663375420
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