What is the Least Common Multiple of 68791 and 68807?
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 68791 and 68807 is 4733302337.
LCM(68791,68807) = 4733302337
Least Common Multiple of 68791 and 68807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68791 and 68807, than apply into the LCM equation.
GCF(68791,68807) = 1
LCM(68791,68807) = ( 68791 × 68807) / 1
LCM(68791,68807) = 4733302337 / 1
LCM(68791,68807) = 4733302337
Least Common Multiple (LCM) of 68791 and 68807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68791 and 68807. First we will calculate the prime factors of 68791 and 68807.
Prime Factorization of 68791
Prime factors of 68791 are 68791. Prime factorization of 68791 in exponential form is:
68791 = 687911
Prime Factorization of 68807
Prime factors of 68807 are 83, 829. Prime factorization of 68807 in exponential form is:
68807 = 831 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 68791 and 68807.
LCM(68791,68807) = 687911 × 831 × 8291
LCM(68791,68807) = 4733302337
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