What is the Least Common Multiple of 24881 and 24893?
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 24881 and 24893 is 619362733.
LCM(24881,24893) = 619362733
Least Common Multiple of 24881 and 24893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24881 and 24893, than apply into the LCM equation.
GCF(24881,24893) = 1
LCM(24881,24893) = ( 24881 × 24893) / 1
LCM(24881,24893) = 619362733 / 1
LCM(24881,24893) = 619362733
Least Common Multiple (LCM) of 24881 and 24893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24881 and 24893. First we will calculate the prime factors of 24881 and 24893.
Prime Factorization of 24881
Prime factors of 24881 are 139, 179. Prime factorization of 24881 in exponential form is:
24881 = 1391 × 1791
Prime Factorization of 24893
Prime factors of 24893 are 11, 31, 73. Prime factorization of 24893 in exponential form is:
24893 = 111 × 311 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 24881 and 24893.
LCM(24881,24893) = 1391 × 1791 × 111 × 311 × 731
LCM(24881,24893) = 619362733
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