What is the Least Common Multiple of 68702 and 68711?
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 68702 and 68711 is 4720583122.
LCM(68702,68711) = 4720583122
Least Common Multiple of 68702 and 68711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68702 and 68711, than apply into the LCM equation.
GCF(68702,68711) = 1
LCM(68702,68711) = ( 68702 × 68711) / 1
LCM(68702,68711) = 4720583122 / 1
LCM(68702,68711) = 4720583122
Least Common Multiple (LCM) of 68702 and 68711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68702 and 68711. First we will calculate the prime factors of 68702 and 68711.
Prime Factorization of 68702
Prime factors of 68702 are 2, 34351. Prime factorization of 68702 in exponential form is:
68702 = 21 × 343511
Prime Factorization of 68711
Prime factors of 68711 are 68711. Prime factorization of 68711 in exponential form is:
68711 = 687111
Now multiplying the highest exponent prime factors to calculate the LCM of 68702 and 68711.
LCM(68702,68711) = 21 × 343511 × 687111
LCM(68702,68711) = 4720583122
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