What is the Least Common Multiple of 67088 and 67108?
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 67088 and 67108 is 1125535376.
LCM(67088,67108) = 1125535376
Least Common Multiple of 67088 and 67108 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67088 and 67108, than apply into the LCM equation.
GCF(67088,67108) = 4
LCM(67088,67108) = ( 67088 × 67108) / 4
LCM(67088,67108) = 4502141504 / 4
LCM(67088,67108) = 1125535376
Least Common Multiple (LCM) of 67088 and 67108 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67088 and 67108. First we will calculate the prime factors of 67088 and 67108.
Prime Factorization of 67088
Prime factors of 67088 are 2, 7, 599. Prime factorization of 67088 in exponential form is:
67088 = 24 × 71 × 5991
Prime Factorization of 67108
Prime factors of 67108 are 2, 19, 883. Prime factorization of 67108 in exponential form is:
67108 = 22 × 191 × 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 67088 and 67108.
LCM(67088,67108) = 24 × 71 × 5991 × 191 × 8831
LCM(67088,67108) = 1125535376
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