What is the Least Common Multiple of 68855 and 68859?
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 68855 and 68859 is 4741286445.
LCM(68855,68859) = 4741286445
Least Common Multiple of 68855 and 68859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68855 and 68859, than apply into the LCM equation.
GCF(68855,68859) = 1
LCM(68855,68859) = ( 68855 × 68859) / 1
LCM(68855,68859) = 4741286445 / 1
LCM(68855,68859) = 4741286445
Least Common Multiple (LCM) of 68855 and 68859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68855 and 68859. First we will calculate the prime factors of 68855 and 68859.
Prime Factorization of 68855
Prime factors of 68855 are 5, 47, 293. Prime factorization of 68855 in exponential form is:
68855 = 51 × 471 × 2931
Prime Factorization of 68859
Prime factors of 68859 are 3, 7, 1093. Prime factorization of 68859 in exponential form is:
68859 = 32 × 71 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 68855 and 68859.
LCM(68855,68859) = 51 × 471 × 2931 × 32 × 71 × 10931
LCM(68855,68859) = 4741286445
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