What is the Least Common Multiple of 40522 and 40529?
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 40522 and 40529 is 1642316138.
LCM(40522,40529) = 1642316138
Least Common Multiple of 40522 and 40529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40522 and 40529, than apply into the LCM equation.
GCF(40522,40529) = 1
LCM(40522,40529) = ( 40522 × 40529) / 1
LCM(40522,40529) = 1642316138 / 1
LCM(40522,40529) = 1642316138
Least Common Multiple (LCM) of 40522 and 40529 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40522 and 40529. First we will calculate the prime factors of 40522 and 40529.
Prime Factorization of 40522
Prime factors of 40522 are 2, 20261. Prime factorization of 40522 in exponential form is:
40522 = 21 × 202611
Prime Factorization of 40529
Prime factors of 40529 are 40529. Prime factorization of 40529 in exponential form is:
40529 = 405291
Now multiplying the highest exponent prime factors to calculate the LCM of 40522 and 40529.
LCM(40522,40529) = 21 × 202611 × 405291
LCM(40522,40529) = 1642316138
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