What is the Least Common Multiple of 848 and 855?
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 848 and 855 is 725040.
LCM(848,855) = 725040
Least Common Multiple of 848 and 855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 848 and 855, than apply into the LCM equation.
GCF(848,855) = 1
LCM(848,855) = ( 848 × 855) / 1
LCM(848,855) = 725040 / 1
LCM(848,855) = 725040
Least Common Multiple (LCM) of 848 and 855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 855. First we will calculate the prime factors of 848 and 855.
Prime Factorization of 848
Prime factors of 848 are 2, 53. Prime factorization of 848 in exponential form is:
848 = 24 × 531
Prime Factorization of 855
Prime factors of 855 are 3, 5, 19. Prime factorization of 855 in exponential form is:
855 = 32 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 855.
LCM(848,855) = 24 × 531 × 32 × 51 × 191
LCM(848,855) = 725040
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