What is the Least Common Multiple of 24861 and 24881?
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 24861 and 24881 is 618566541.
LCM(24861,24881) = 618566541
Least Common Multiple of 24861 and 24881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24861 and 24881, than apply into the LCM equation.
GCF(24861,24881) = 1
LCM(24861,24881) = ( 24861 × 24881) / 1
LCM(24861,24881) = 618566541 / 1
LCM(24861,24881) = 618566541
Least Common Multiple (LCM) of 24861 and 24881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24861 and 24881. First we will calculate the prime factors of 24861 and 24881.
Prime Factorization of 24861
Prime factors of 24861 are 3, 8287. Prime factorization of 24861 in exponential form is:
24861 = 31 × 82871
Prime Factorization of 24881
Prime factors of 24881 are 139, 179. Prime factorization of 24881 in exponential form is:
24881 = 1391 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 24861 and 24881.
LCM(24861,24881) = 31 × 82871 × 1391 × 1791
LCM(24861,24881) = 618566541
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