What is the Least Common Multiple of 24577 and 24582?
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 24577 and 24582 is 604151814.
LCM(24577,24582) = 604151814
Least Common Multiple of 24577 and 24582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24577 and 24582, than apply into the LCM equation.
GCF(24577,24582) = 1
LCM(24577,24582) = ( 24577 × 24582) / 1
LCM(24577,24582) = 604151814 / 1
LCM(24577,24582) = 604151814
Least Common Multiple (LCM) of 24577 and 24582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24577 and 24582. First we will calculate the prime factors of 24577 and 24582.
Prime Factorization of 24577
Prime factors of 24577 are 7, 3511. Prime factorization of 24577 in exponential form is:
24577 = 71 × 35111
Prime Factorization of 24582
Prime factors of 24582 are 2, 3, 17, 241. Prime factorization of 24582 in exponential form is:
24582 = 21 × 31 × 171 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 24577 and 24582.
LCM(24577,24582) = 71 × 35111 × 21 × 31 × 171 × 2411
LCM(24577,24582) = 604151814
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