What is the Least Common Multiple of 17062 and 17079?
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 17062 and 17079 is 291401898.
LCM(17062,17079) = 291401898
Least Common Multiple of 17062 and 17079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17062 and 17079, than apply into the LCM equation.
GCF(17062,17079) = 1
LCM(17062,17079) = ( 17062 × 17079) / 1
LCM(17062,17079) = 291401898 / 1
LCM(17062,17079) = 291401898
Least Common Multiple (LCM) of 17062 and 17079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17062 and 17079. First we will calculate the prime factors of 17062 and 17079.
Prime Factorization of 17062
Prime factors of 17062 are 2, 19, 449. Prime factorization of 17062 in exponential form is:
17062 = 21 × 191 × 4491
Prime Factorization of 17079
Prime factors of 17079 are 3, 5693. Prime factorization of 17079 in exponential form is:
17079 = 31 × 56931
Now multiplying the highest exponent prime factors to calculate the LCM of 17062 and 17079.
LCM(17062,17079) = 21 × 191 × 4491 × 31 × 56931
LCM(17062,17079) = 291401898
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