What is the Least Common Multiple of 17054 and 17074?
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 17054 and 17074 is 145589998.
LCM(17054,17074) = 145589998
Least Common Multiple of 17054 and 17074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17054 and 17074, than apply into the LCM equation.
GCF(17054,17074) = 2
LCM(17054,17074) = ( 17054 × 17074) / 2
LCM(17054,17074) = 291179996 / 2
LCM(17054,17074) = 145589998
Least Common Multiple (LCM) of 17054 and 17074 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17054 and 17074. First we will calculate the prime factors of 17054 and 17074.
Prime Factorization of 17054
Prime factors of 17054 are 2, 8527. Prime factorization of 17054 in exponential form is:
17054 = 21 × 85271
Prime Factorization of 17074
Prime factors of 17074 are 2, 8537. Prime factorization of 17074 in exponential form is:
17074 = 21 × 85371
Now multiplying the highest exponent prime factors to calculate the LCM of 17054 and 17074.
LCM(17054,17074) = 21 × 85271 × 85371
LCM(17054,17074) = 145589998
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