What is the Least Common Multiple of 17608 and 17621?
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 17608 and 17621 is 310270568.
LCM(17608,17621) = 310270568
Least Common Multiple of 17608 and 17621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17608 and 17621, than apply into the LCM equation.
GCF(17608,17621) = 1
LCM(17608,17621) = ( 17608 × 17621) / 1
LCM(17608,17621) = 310270568 / 1
LCM(17608,17621) = 310270568
Least Common Multiple (LCM) of 17608 and 17621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17608 and 17621. First we will calculate the prime factors of 17608 and 17621.
Prime Factorization of 17608
Prime factors of 17608 are 2, 31, 71. Prime factorization of 17608 in exponential form is:
17608 = 23 × 311 × 711
Prime Factorization of 17621
Prime factors of 17621 are 67, 263. Prime factorization of 17621 in exponential form is:
17621 = 671 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 17608 and 17621.
LCM(17608,17621) = 23 × 311 × 711 × 671 × 2631
LCM(17608,17621) = 310270568
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