What is the Least Common Multiple of 40081 and 40091?
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 40081 and 40091 is 1606887371.
LCM(40081,40091) = 1606887371
Least Common Multiple of 40081 and 40091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40081 and 40091, than apply into the LCM equation.
GCF(40081,40091) = 1
LCM(40081,40091) = ( 40081 × 40091) / 1
LCM(40081,40091) = 1606887371 / 1
LCM(40081,40091) = 1606887371
Least Common Multiple (LCM) of 40081 and 40091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40081 and 40091. First we will calculate the prime factors of 40081 and 40091.
Prime Factorization of 40081
Prime factors of 40081 are 149, 269. Prime factorization of 40081 in exponential form is:
40081 = 1491 × 2691
Prime Factorization of 40091
Prime factors of 40091 are 47, 853. Prime factorization of 40091 in exponential form is:
40091 = 471 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 40081 and 40091.
LCM(40081,40091) = 1491 × 2691 × 471 × 8531
LCM(40081,40091) = 1606887371
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