What is the Least Common Multiple of 24881 and 24888?
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 24888 is 619238328.
LCM(24881,24888) = 619238328
Least Common Multiple of 24881 and 24888 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 24888, than apply into the LCM equation.
GCF(24881,24888) = 1
LCM(24881,24888) = ( 24881 × 24888) / 1
LCM(24881,24888) = 619238328 / 1
LCM(24881,24888) = 619238328
Least Common Multiple (LCM) of 24881 and 24888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24881 and 24888. First we will calculate the prime factors of 24881 and 24888.
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 24888
Prime factors of 24888 are 2, 3, 17, 61. Prime factorization of 24888 in exponential form is:
24888 = 23 × 31 × 171 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 24881 and 24888.
LCM(24881,24888) = 1391 × 1791 × 23 × 31 × 171 × 611
LCM(24881,24888) = 619238328
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