What is the Least Common Multiple of 24963 and 24982?
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 24963 and 24982 is 623625666.
LCM(24963,24982) = 623625666
Least Common Multiple of 24963 and 24982 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24963 and 24982, than apply into the LCM equation.
GCF(24963,24982) = 1
LCM(24963,24982) = ( 24963 × 24982) / 1
LCM(24963,24982) = 623625666 / 1
LCM(24963,24982) = 623625666
Least Common Multiple (LCM) of 24963 and 24982 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24963 and 24982. First we will calculate the prime factors of 24963 and 24982.
Prime Factorization of 24963
Prime factors of 24963 are 3, 53, 157. Prime factorization of 24963 in exponential form is:
24963 = 31 × 531 × 1571
Prime Factorization of 24982
Prime factors of 24982 are 2, 12491. Prime factorization of 24982 in exponential form is:
24982 = 21 × 124911
Now multiplying the highest exponent prime factors to calculate the LCM of 24963 and 24982.
LCM(24963,24982) = 31 × 531 × 1571 × 21 × 124911
LCM(24963,24982) = 623625666
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