What is the Least Common Multiple of 54878 and 54895?
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 54878 and 54895 is 3012527810.
LCM(54878,54895) = 3012527810
Least Common Multiple of 54878 and 54895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54878 and 54895, than apply into the LCM equation.
GCF(54878,54895) = 1
LCM(54878,54895) = ( 54878 × 54895) / 1
LCM(54878,54895) = 3012527810 / 1
LCM(54878,54895) = 3012527810
Least Common Multiple (LCM) of 54878 and 54895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54878 and 54895. First we will calculate the prime factors of 54878 and 54895.
Prime Factorization of 54878
Prime factors of 54878 are 2, 23, 1193. Prime factorization of 54878 in exponential form is:
54878 = 21 × 231 × 11931
Prime Factorization of 54895
Prime factors of 54895 are 5, 10979. Prime factorization of 54895 in exponential form is:
54895 = 51 × 109791
Now multiplying the highest exponent prime factors to calculate the LCM of 54878 and 54895.
LCM(54878,54895) = 21 × 231 × 11931 × 51 × 109791
LCM(54878,54895) = 3012527810
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