What is the Least Common Multiple of 17493 and 17503?
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 17493 and 17503 is 306179979.
LCM(17493,17503) = 306179979
Least Common Multiple of 17493 and 17503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17493 and 17503, than apply into the LCM equation.
GCF(17493,17503) = 1
LCM(17493,17503) = ( 17493 × 17503) / 1
LCM(17493,17503) = 306179979 / 1
LCM(17493,17503) = 306179979
Least Common Multiple (LCM) of 17493 and 17503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17493 and 17503. First we will calculate the prime factors of 17493 and 17503.
Prime Factorization of 17493
Prime factors of 17493 are 3, 7, 17. Prime factorization of 17493 in exponential form is:
17493 = 31 × 73 × 171
Prime Factorization of 17503
Prime factors of 17503 are 23, 761. Prime factorization of 17503 in exponential form is:
17503 = 231 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 17493 and 17503.
LCM(17493,17503) = 31 × 73 × 171 × 231 × 7611
LCM(17493,17503) = 306179979
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