What is the Least Common Multiple of 24650 and 24669?
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 24650 and 24669 is 608090850.
LCM(24650,24669) = 608090850
Least Common Multiple of 24650 and 24669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24650 and 24669, than apply into the LCM equation.
GCF(24650,24669) = 1
LCM(24650,24669) = ( 24650 × 24669) / 1
LCM(24650,24669) = 608090850 / 1
LCM(24650,24669) = 608090850
Least Common Multiple (LCM) of 24650 and 24669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24650 and 24669. First we will calculate the prime factors of 24650 and 24669.
Prime Factorization of 24650
Prime factors of 24650 are 2, 5, 17, 29. Prime factorization of 24650 in exponential form is:
24650 = 21 × 52 × 171 × 291
Prime Factorization of 24669
Prime factors of 24669 are 3, 2741. Prime factorization of 24669 in exponential form is:
24669 = 32 × 27411
Now multiplying the highest exponent prime factors to calculate the LCM of 24650 and 24669.
LCM(24650,24669) = 21 × 52 × 171 × 291 × 32 × 27411
LCM(24650,24669) = 608090850
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