What is the Least Common Multiple of 24611 and 24615?
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 24611 and 24615 is 605799765.
LCM(24611,24615) = 605799765
Least Common Multiple of 24611 and 24615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24611 and 24615, than apply into the LCM equation.
GCF(24611,24615) = 1
LCM(24611,24615) = ( 24611 × 24615) / 1
LCM(24611,24615) = 605799765 / 1
LCM(24611,24615) = 605799765
Least Common Multiple (LCM) of 24611 and 24615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24611 and 24615. First we will calculate the prime factors of 24611 and 24615.
Prime Factorization of 24611
Prime factors of 24611 are 24611. Prime factorization of 24611 in exponential form is:
24611 = 246111
Prime Factorization of 24615
Prime factors of 24615 are 3, 5, 547. Prime factorization of 24615 in exponential form is:
24615 = 32 × 51 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 24611 and 24615.
LCM(24611,24615) = 246111 × 32 × 51 × 5471
LCM(24611,24615) = 605799765
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