What is the Least Common Multiple of 68899 and 68919?
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 68899 and 68919 is 4748450181.
LCM(68899,68919) = 4748450181
Least Common Multiple of 68899 and 68919 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68899 and 68919, than apply into the LCM equation.
GCF(68899,68919) = 1
LCM(68899,68919) = ( 68899 × 68919) / 1
LCM(68899,68919) = 4748450181 / 1
LCM(68899,68919) = 4748450181
Least Common Multiple (LCM) of 68899 and 68919 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68899 and 68919. First we will calculate the prime factors of 68899 and 68919.
Prime Factorization of 68899
Prime factors of 68899 are 68899. Prime factorization of 68899 in exponential form is:
68899 = 688991
Prime Factorization of 68919
Prime factors of 68919 are 3, 22973. Prime factorization of 68919 in exponential form is:
68919 = 31 × 229731
Now multiplying the highest exponent prime factors to calculate the LCM of 68899 and 68919.
LCM(68899,68919) = 688991 × 31 × 229731
LCM(68899,68919) = 4748450181
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