What is the Least Common Multiple of 24611 and 24618?
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 24618 is 605873598.
LCM(24611,24618) = 605873598
Least Common Multiple of 24611 and 24618 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 24618, than apply into the LCM equation.
GCF(24611,24618) = 1
LCM(24611,24618) = ( 24611 × 24618) / 1
LCM(24611,24618) = 605873598 / 1
LCM(24611,24618) = 605873598
Least Common Multiple (LCM) of 24611 and 24618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24611 and 24618. First we will calculate the prime factors of 24611 and 24618.
Prime Factorization of 24611
Prime factors of 24611 are 24611. Prime factorization of 24611 in exponential form is:
24611 = 246111
Prime Factorization of 24618
Prime factors of 24618 are 2, 3, 11, 373. Prime factorization of 24618 in exponential form is:
24618 = 21 × 31 × 111 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 24611 and 24618.
LCM(24611,24618) = 246111 × 21 × 31 × 111 × 3731
LCM(24611,24618) = 605873598
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