What is the Least Common Multiple of 67588 and 67606?
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 67588 and 67606 is 2284677164.
LCM(67588,67606) = 2284677164
Least Common Multiple of 67588 and 67606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67588 and 67606, than apply into the LCM equation.
GCF(67588,67606) = 2
LCM(67588,67606) = ( 67588 × 67606) / 2
LCM(67588,67606) = 4569354328 / 2
LCM(67588,67606) = 2284677164
Least Common Multiple (LCM) of 67588 and 67606 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67588 and 67606. First we will calculate the prime factors of 67588 and 67606.
Prime Factorization of 67588
Prime factors of 67588 are 2, 61, 277. Prime factorization of 67588 in exponential form is:
67588 = 22 × 611 × 2771
Prime Factorization of 67606
Prime factors of 67606 are 2, 7, 11, 439. Prime factorization of 67606 in exponential form is:
67606 = 21 × 71 × 111 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 67588 and 67606.
LCM(67588,67606) = 22 × 611 × 2771 × 71 × 111 × 4391
LCM(67588,67606) = 2284677164
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