What is the Least Common Multiple of 67589 and 67608?
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 67589 and 67608 is 4569557112.
LCM(67589,67608) = 4569557112
Least Common Multiple of 67589 and 67608 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67589 and 67608, than apply into the LCM equation.
GCF(67589,67608) = 1
LCM(67589,67608) = ( 67589 × 67608) / 1
LCM(67589,67608) = 4569557112 / 1
LCM(67589,67608) = 4569557112
Least Common Multiple (LCM) of 67589 and 67608 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67589 and 67608. First we will calculate the prime factors of 67589 and 67608.
Prime Factorization of 67589
Prime factors of 67589 are 67589. Prime factorization of 67589 in exponential form is:
67589 = 675891
Prime Factorization of 67608
Prime factors of 67608 are 2, 3, 313. Prime factorization of 67608 in exponential form is:
67608 = 23 × 33 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 67589 and 67608.
LCM(67589,67608) = 675891 × 23 × 33 × 3131
LCM(67589,67608) = 4569557112
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