What is the Least Common Multiple of 40226 and 40234?
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 40226 and 40234 is 809226442.
LCM(40226,40234) = 809226442
Least Common Multiple of 40226 and 40234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40226 and 40234, than apply into the LCM equation.
GCF(40226,40234) = 2
LCM(40226,40234) = ( 40226 × 40234) / 2
LCM(40226,40234) = 1618452884 / 2
LCM(40226,40234) = 809226442
Least Common Multiple (LCM) of 40226 and 40234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40226 and 40234. First we will calculate the prime factors of 40226 and 40234.
Prime Factorization of 40226
Prime factors of 40226 are 2, 20113. Prime factorization of 40226 in exponential form is:
40226 = 21 × 201131
Prime Factorization of 40234
Prime factors of 40234 are 2, 20117. Prime factorization of 40234 in exponential form is:
40234 = 21 × 201171
Now multiplying the highest exponent prime factors to calculate the LCM of 40226 and 40234.
LCM(40226,40234) = 21 × 201131 × 201171
LCM(40226,40234) = 809226442
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