What is the Least Common Multiple of 68905 and 68917?
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 68905 and 68917 is 4748725885.
LCM(68905,68917) = 4748725885
Least Common Multiple of 68905 and 68917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68905 and 68917, than apply into the LCM equation.
GCF(68905,68917) = 1
LCM(68905,68917) = ( 68905 × 68917) / 1
LCM(68905,68917) = 4748725885 / 1
LCM(68905,68917) = 4748725885
Least Common Multiple (LCM) of 68905 and 68917 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68905 and 68917. First we will calculate the prime factors of 68905 and 68917.
Prime Factorization of 68905
Prime factors of 68905 are 5, 13781. Prime factorization of 68905 in exponential form is:
68905 = 51 × 137811
Prime Factorization of 68917
Prime factors of 68917 are 68917. Prime factorization of 68917 in exponential form is:
68917 = 689171
Now multiplying the highest exponent prime factors to calculate the LCM of 68905 and 68917.
LCM(68905,68917) = 51 × 137811 × 689171
LCM(68905,68917) = 4748725885
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