What is the Least Common Multiple of 68698 and 68705?
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 68698 and 68705 is 674270870.
LCM(68698,68705) = 674270870
Least Common Multiple of 68698 and 68705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68698 and 68705, than apply into the LCM equation.
GCF(68698,68705) = 7
LCM(68698,68705) = ( 68698 × 68705) / 7
LCM(68698,68705) = 4719896090 / 7
LCM(68698,68705) = 674270870
Least Common Multiple (LCM) of 68698 and 68705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68698 and 68705. First we will calculate the prime factors of 68698 and 68705.
Prime Factorization of 68698
Prime factors of 68698 are 2, 7, 701. Prime factorization of 68698 in exponential form is:
68698 = 21 × 72 × 7011
Prime Factorization of 68705
Prime factors of 68705 are 5, 7, 13, 151. Prime factorization of 68705 in exponential form is:
68705 = 51 × 71 × 131 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 68698 and 68705.
LCM(68698,68705) = 21 × 72 × 7011 × 51 × 131 × 1511
LCM(68698,68705) = 674270870
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