What is the Least Common Multiple of 67550 and 67555?
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 67550 and 67555 is 912668050.
LCM(67550,67555) = 912668050
Least Common Multiple of 67550 and 67555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67550 and 67555, than apply into the LCM equation.
GCF(67550,67555) = 5
LCM(67550,67555) = ( 67550 × 67555) / 5
LCM(67550,67555) = 4563340250 / 5
LCM(67550,67555) = 912668050
Least Common Multiple (LCM) of 67550 and 67555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67550 and 67555. First we will calculate the prime factors of 67550 and 67555.
Prime Factorization of 67550
Prime factors of 67550 are 2, 5, 7, 193. Prime factorization of 67550 in exponential form is:
67550 = 21 × 52 × 71 × 1931
Prime Factorization of 67555
Prime factors of 67555 are 5, 59, 229. Prime factorization of 67555 in exponential form is:
67555 = 51 × 591 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 67550 and 67555.
LCM(67550,67555) = 21 × 52 × 71 × 1931 × 591 × 2291
LCM(67550,67555) = 912668050
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