What is the Least Common Multiple of 24815 and 24834?
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 24815 and 24834 is 616255710.
LCM(24815,24834) = 616255710
Least Common Multiple of 24815 and 24834 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24815 and 24834, than apply into the LCM equation.
GCF(24815,24834) = 1
LCM(24815,24834) = ( 24815 × 24834) / 1
LCM(24815,24834) = 616255710 / 1
LCM(24815,24834) = 616255710
Least Common Multiple (LCM) of 24815 and 24834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24815 and 24834. First we will calculate the prime factors of 24815 and 24834.
Prime Factorization of 24815
Prime factors of 24815 are 5, 7, 709. Prime factorization of 24815 in exponential form is:
24815 = 51 × 71 × 7091
Prime Factorization of 24834
Prime factors of 24834 are 2, 3, 4139. Prime factorization of 24834 in exponential form is:
24834 = 21 × 31 × 41391
Now multiplying the highest exponent prime factors to calculate the LCM of 24815 and 24834.
LCM(24815,24834) = 51 × 71 × 7091 × 21 × 31 × 41391
LCM(24815,24834) = 616255710
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