What is the Least Common Multiple of 51885 and 51889?
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 51885 and 51889 is 2692260765.
LCM(51885,51889) = 2692260765
Least Common Multiple of 51885 and 51889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51885 and 51889, than apply into the LCM equation.
GCF(51885,51889) = 1
LCM(51885,51889) = ( 51885 × 51889) / 1
LCM(51885,51889) = 2692260765 / 1
LCM(51885,51889) = 2692260765
Least Common Multiple (LCM) of 51885 and 51889 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51885 and 51889. First we will calculate the prime factors of 51885 and 51889.
Prime Factorization of 51885
Prime factors of 51885 are 3, 5, 1153. Prime factorization of 51885 in exponential form is:
51885 = 32 × 51 × 11531
Prime Factorization of 51889
Prime factors of 51889 are 19, 2731. Prime factorization of 51889 in exponential form is:
51889 = 191 × 27311
Now multiplying the highest exponent prime factors to calculate the LCM of 51885 and 51889.
LCM(51885,51889) = 32 × 51 × 11531 × 191 × 27311
LCM(51885,51889) = 2692260765
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