What is the Least Common Multiple of 67581 and 67586?
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 67581 and 67586 is 4567529466.
LCM(67581,67586) = 4567529466
Least Common Multiple of 67581 and 67586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67581 and 67586, than apply into the LCM equation.
GCF(67581,67586) = 1
LCM(67581,67586) = ( 67581 × 67586) / 1
LCM(67581,67586) = 4567529466 / 1
LCM(67581,67586) = 4567529466
Least Common Multiple (LCM) of 67581 and 67586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67581 and 67586. First we will calculate the prime factors of 67581 and 67586.
Prime Factorization of 67581
Prime factors of 67581 are 3, 2503. Prime factorization of 67581 in exponential form is:
67581 = 33 × 25031
Prime Factorization of 67586
Prime factors of 67586 are 2, 47, 719. Prime factorization of 67586 in exponential form is:
67586 = 21 × 471 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 67581 and 67586.
LCM(67581,67586) = 33 × 25031 × 21 × 471 × 7191
LCM(67581,67586) = 4567529466
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