What is the Least Common Multiple of 67088 and 67105?
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 67105 is 4501940240.
LCM(67088,67105) = 4501940240
Least Common Multiple of 67088 and 67105 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 67105, than apply into the LCM equation.
GCF(67088,67105) = 1
LCM(67088,67105) = ( 67088 × 67105) / 1
LCM(67088,67105) = 4501940240 / 1
LCM(67088,67105) = 4501940240
Least Common Multiple (LCM) of 67088 and 67105 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67088 and 67105. First we will calculate the prime factors of 67088 and 67105.
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 67105
Prime factors of 67105 are 5, 13421. Prime factorization of 67105 in exponential form is:
67105 = 51 × 134211
Now multiplying the highest exponent prime factors to calculate the LCM of 67088 and 67105.
LCM(67088,67105) = 24 × 71 × 5991 × 51 × 134211
LCM(67088,67105) = 4501940240
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