What is the Least Common Multiple of 40541 and 40555?
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 40541 and 40555 is 1644140255.
LCM(40541,40555) = 1644140255
Least Common Multiple of 40541 and 40555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40541 and 40555, than apply into the LCM equation.
GCF(40541,40555) = 1
LCM(40541,40555) = ( 40541 × 40555) / 1
LCM(40541,40555) = 1644140255 / 1
LCM(40541,40555) = 1644140255
Least Common Multiple (LCM) of 40541 and 40555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40541 and 40555. First we will calculate the prime factors of 40541 and 40555.
Prime Factorization of 40541
Prime factors of 40541 are 71, 571. Prime factorization of 40541 in exponential form is:
40541 = 711 × 5711
Prime Factorization of 40555
Prime factors of 40555 are 5, 8111. Prime factorization of 40555 in exponential form is:
40555 = 51 × 81111
Now multiplying the highest exponent prime factors to calculate the LCM of 40541 and 40555.
LCM(40541,40555) = 711 × 5711 × 51 × 81111
LCM(40541,40555) = 1644140255
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