What is the Least Common Multiple of 24877 and 24889?
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 24877 and 24889 is 619163653.
LCM(24877,24889) = 619163653
Least Common Multiple of 24877 and 24889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24877 and 24889, than apply into the LCM equation.
GCF(24877,24889) = 1
LCM(24877,24889) = ( 24877 × 24889) / 1
LCM(24877,24889) = 619163653 / 1
LCM(24877,24889) = 619163653
Least Common Multiple (LCM) of 24877 and 24889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24877 and 24889. First we will calculate the prime factors of 24877 and 24889.
Prime Factorization of 24877
Prime factors of 24877 are 24877. Prime factorization of 24877 in exponential form is:
24877 = 248771
Prime Factorization of 24889
Prime factors of 24889 are 24889. Prime factorization of 24889 in exponential form is:
24889 = 248891
Now multiplying the highest exponent prime factors to calculate the LCM of 24877 and 24889.
LCM(24877,24889) = 248771 × 248891
LCM(24877,24889) = 619163653
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