What is the Least Common Multiple of 68799 and 68803?
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 68799 and 68803 is 4733577597.
LCM(68799,68803) = 4733577597
Least Common Multiple of 68799 and 68803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68799 and 68803, than apply into the LCM equation.
GCF(68799,68803) = 1
LCM(68799,68803) = ( 68799 × 68803) / 1
LCM(68799,68803) = 4733577597 / 1
LCM(68799,68803) = 4733577597
Least Common Multiple (LCM) of 68799 and 68803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68799 and 68803. First we will calculate the prime factors of 68799 and 68803.
Prime Factorization of 68799
Prime factors of 68799 are 3, 17, 19, 71. Prime factorization of 68799 in exponential form is:
68799 = 31 × 171 × 191 × 711
Prime Factorization of 68803
Prime factors of 68803 are 7, 9829. Prime factorization of 68803 in exponential form is:
68803 = 71 × 98291
Now multiplying the highest exponent prime factors to calculate the LCM of 68799 and 68803.
LCM(68799,68803) = 31 × 171 × 191 × 711 × 71 × 98291
LCM(68799,68803) = 4733577597
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