What is the Least Common Multiple of 24627 and 24639?
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 24627 and 24639 is 202261551.
LCM(24627,24639) = 202261551
Least Common Multiple of 24627 and 24639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24627 and 24639, than apply into the LCM equation.
GCF(24627,24639) = 3
LCM(24627,24639) = ( 24627 × 24639) / 3
LCM(24627,24639) = 606784653 / 3
LCM(24627,24639) = 202261551
Least Common Multiple (LCM) of 24627 and 24639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24627 and 24639. First we will calculate the prime factors of 24627 and 24639.
Prime Factorization of 24627
Prime factors of 24627 are 3, 8209. Prime factorization of 24627 in exponential form is:
24627 = 31 × 82091
Prime Factorization of 24639
Prime factors of 24639 are 3, 43, 191. Prime factorization of 24639 in exponential form is:
24639 = 31 × 431 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 24627 and 24639.
LCM(24627,24639) = 31 × 82091 × 431 × 1911
LCM(24627,24639) = 202261551
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