What is the Least Common Multiple of 48835 and 48851?
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 48835 and 48851 is 2385638585.
LCM(48835,48851) = 2385638585
Least Common Multiple of 48835 and 48851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48835 and 48851, than apply into the LCM equation.
GCF(48835,48851) = 1
LCM(48835,48851) = ( 48835 × 48851) / 1
LCM(48835,48851) = 2385638585 / 1
LCM(48835,48851) = 2385638585
Least Common Multiple (LCM) of 48835 and 48851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48835 and 48851. First we will calculate the prime factors of 48835 and 48851.
Prime Factorization of 48835
Prime factors of 48835 are 5, 9767. Prime factorization of 48835 in exponential form is:
48835 = 51 × 97671
Prime Factorization of 48851
Prime factors of 48851 are 11, 4441. Prime factorization of 48851 in exponential form is:
48851 = 111 × 44411
Now multiplying the highest exponent prime factors to calculate the LCM of 48835 and 48851.
LCM(48835,48851) = 51 × 97671 × 111 × 44411
LCM(48835,48851) = 2385638585
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