What is the Least Common Multiple of 68683 and 68687?
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 68683 and 68687 is 4717629221.
LCM(68683,68687) = 4717629221
Least Common Multiple of 68683 and 68687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68683 and 68687, than apply into the LCM equation.
GCF(68683,68687) = 1
LCM(68683,68687) = ( 68683 × 68687) / 1
LCM(68683,68687) = 4717629221 / 1
LCM(68683,68687) = 4717629221
Least Common Multiple (LCM) of 68683 and 68687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68683 and 68687. First we will calculate the prime factors of 68683 and 68687.
Prime Factorization of 68683
Prime factors of 68683 are 68683. Prime factorization of 68683 in exponential form is:
68683 = 686831
Prime Factorization of 68687
Prime factors of 68687 are 68687. Prime factorization of 68687 in exponential form is:
68687 = 686871
Now multiplying the highest exponent prime factors to calculate the LCM of 68683 and 68687.
LCM(68683,68687) = 686831 × 686871
LCM(68683,68687) = 4717629221
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