What is the Least Common Multiple of 17604 and 17623?
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 17604 and 17623 is 310235292.
LCM(17604,17623) = 310235292
Least Common Multiple of 17604 and 17623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17604 and 17623, than apply into the LCM equation.
GCF(17604,17623) = 1
LCM(17604,17623) = ( 17604 × 17623) / 1
LCM(17604,17623) = 310235292 / 1
LCM(17604,17623) = 310235292
Least Common Multiple (LCM) of 17604 and 17623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17604 and 17623. First we will calculate the prime factors of 17604 and 17623.
Prime Factorization of 17604
Prime factors of 17604 are 2, 3, 163. Prime factorization of 17604 in exponential form is:
17604 = 22 × 33 × 1631
Prime Factorization of 17623
Prime factors of 17623 are 17623. Prime factorization of 17623 in exponential form is:
17623 = 176231
Now multiplying the highest exponent prime factors to calculate the LCM of 17604 and 17623.
LCM(17604,17623) = 22 × 33 × 1631 × 176231
LCM(17604,17623) = 310235292
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