What is the Least Common Multiple of 68702 and 68708?
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 68708 is 2360188508.
LCM(68702,68708) = 2360188508
Least Common Multiple of 68702 and 68708 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 68708, than apply into the LCM equation.
GCF(68702,68708) = 2
LCM(68702,68708) = ( 68702 × 68708) / 2
LCM(68702,68708) = 4720377016 / 2
LCM(68702,68708) = 2360188508
Least Common Multiple (LCM) of 68702 and 68708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68702 and 68708. First we will calculate the prime factors of 68702 and 68708.
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 68708
Prime factors of 68708 are 2, 89, 193. Prime factorization of 68708 in exponential form is:
68708 = 22 × 891 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 68702 and 68708.
LCM(68702,68708) = 22 × 343511 × 891 × 1931
LCM(68702,68708) = 2360188508
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