What is the Least Common Multiple of 40255 and 40259?
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 40255 and 40259 is 1620626045.
LCM(40255,40259) = 1620626045
Least Common Multiple of 40255 and 40259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40255 and 40259, than apply into the LCM equation.
GCF(40255,40259) = 1
LCM(40255,40259) = ( 40255 × 40259) / 1
LCM(40255,40259) = 1620626045 / 1
LCM(40255,40259) = 1620626045
Least Common Multiple (LCM) of 40255 and 40259 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40255 and 40259. First we will calculate the prime factors of 40255 and 40259.
Prime Factorization of 40255
Prime factors of 40255 are 5, 83, 97. Prime factorization of 40255 in exponential form is:
40255 = 51 × 831 × 971
Prime Factorization of 40259
Prime factors of 40259 are 127, 317. Prime factorization of 40259 in exponential form is:
40259 = 1271 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 40255 and 40259.
LCM(40255,40259) = 51 × 831 × 971 × 1271 × 3171
LCM(40255,40259) = 1620626045
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