What is the Least Common Multiple of 17498 and 17518?
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 17498 and 17518 is 153264982.
LCM(17498,17518) = 153264982
Least Common Multiple of 17498 and 17518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17498 and 17518, than apply into the LCM equation.
GCF(17498,17518) = 2
LCM(17498,17518) = ( 17498 × 17518) / 2
LCM(17498,17518) = 306529964 / 2
LCM(17498,17518) = 153264982
Least Common Multiple (LCM) of 17498 and 17518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17498 and 17518. First we will calculate the prime factors of 17498 and 17518.
Prime Factorization of 17498
Prime factors of 17498 are 2, 13, 673. Prime factorization of 17498 in exponential form is:
17498 = 21 × 131 × 6731
Prime Factorization of 17518
Prime factors of 17518 are 2, 19, 461. Prime factorization of 17518 in exponential form is:
17518 = 21 × 191 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 17498 and 17518.
LCM(17498,17518) = 21 × 131 × 6731 × 191 × 4611
LCM(17498,17518) = 153264982
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