What is the Least Common Multiple of 68831 and 68841?
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 68831 and 68841 is 4738394871.
LCM(68831,68841) = 4738394871
Least Common Multiple of 68831 and 68841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68831 and 68841, than apply into the LCM equation.
GCF(68831,68841) = 1
LCM(68831,68841) = ( 68831 × 68841) / 1
LCM(68831,68841) = 4738394871 / 1
LCM(68831,68841) = 4738394871
Least Common Multiple (LCM) of 68831 and 68841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68831 and 68841. First we will calculate the prime factors of 68831 and 68841.
Prime Factorization of 68831
Prime factors of 68831 are 7, 9833. Prime factorization of 68831 in exponential form is:
68831 = 71 × 98331
Prime Factorization of 68841
Prime factors of 68841 are 3, 7649. Prime factorization of 68841 in exponential form is:
68841 = 32 × 76491
Now multiplying the highest exponent prime factors to calculate the LCM of 68831 and 68841.
LCM(68831,68841) = 71 × 98331 × 32 × 76491
LCM(68831,68841) = 4738394871
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