What is the Least Common Multiple of 17062 and 17073?
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 17073 is 291299526.
LCM(17062,17073) = 291299526
Least Common Multiple of 17062 and 17073 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 17073, than apply into the LCM equation.
GCF(17062,17073) = 1
LCM(17062,17073) = ( 17062 × 17073) / 1
LCM(17062,17073) = 291299526 / 1
LCM(17062,17073) = 291299526
Least Common Multiple (LCM) of 17062 and 17073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17062 and 17073. First we will calculate the prime factors of 17062 and 17073.
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 17073
Prime factors of 17073 are 3, 7, 271. Prime factorization of 17073 in exponential form is:
17073 = 32 × 71 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 17062 and 17073.
LCM(17062,17073) = 21 × 191 × 4491 × 32 × 71 × 2711
LCM(17062,17073) = 291299526
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