What is the Least Common Multiple of 53818 and 53825?
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 53818 and 53825 is 2896753850.
LCM(53818,53825) = 2896753850
Least Common Multiple of 53818 and 53825 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53818 and 53825, than apply into the LCM equation.
GCF(53818,53825) = 1
LCM(53818,53825) = ( 53818 × 53825) / 1
LCM(53818,53825) = 2896753850 / 1
LCM(53818,53825) = 2896753850
Least Common Multiple (LCM) of 53818 and 53825 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53818 and 53825. First we will calculate the prime factors of 53818 and 53825.
Prime Factorization of 53818
Prime factors of 53818 are 2, 71, 379. Prime factorization of 53818 in exponential form is:
53818 = 21 × 711 × 3791
Prime Factorization of 53825
Prime factors of 53825 are 5, 2153. Prime factorization of 53825 in exponential form is:
53825 = 52 × 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 53818 and 53825.
LCM(53818,53825) = 21 × 711 × 3791 × 52 × 21531
LCM(53818,53825) = 2896753850
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