What is the Least Common Multiple of 68615 and 68626?
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 68615 and 68626 is 4708772990.
LCM(68615,68626) = 4708772990
Least Common Multiple of 68615 and 68626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68615 and 68626, than apply into the LCM equation.
GCF(68615,68626) = 1
LCM(68615,68626) = ( 68615 × 68626) / 1
LCM(68615,68626) = 4708772990 / 1
LCM(68615,68626) = 4708772990
Least Common Multiple (LCM) of 68615 and 68626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68615 and 68626. First we will calculate the prime factors of 68615 and 68626.
Prime Factorization of 68615
Prime factors of 68615 are 5, 13723. Prime factorization of 68615 in exponential form is:
68615 = 51 × 137231
Prime Factorization of 68626
Prime factors of 68626 are 2, 34313. Prime factorization of 68626 in exponential form is:
68626 = 21 × 343131
Now multiplying the highest exponent prime factors to calculate the LCM of 68615 and 68626.
LCM(68615,68626) = 51 × 137231 × 21 × 343131
LCM(68615,68626) = 4708772990
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