What is the Least Common Multiple of 68687 and 68696?
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 68687 and 68696 is 4718522152.
LCM(68687,68696) = 4718522152
Least Common Multiple of 68687 and 68696 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68687 and 68696, than apply into the LCM equation.
GCF(68687,68696) = 1
LCM(68687,68696) = ( 68687 × 68696) / 1
LCM(68687,68696) = 4718522152 / 1
LCM(68687,68696) = 4718522152
Least Common Multiple (LCM) of 68687 and 68696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68687 and 68696. First we will calculate the prime factors of 68687 and 68696.
Prime Factorization of 68687
Prime factors of 68687 are 68687. Prime factorization of 68687 in exponential form is:
68687 = 686871
Prime Factorization of 68696
Prime factors of 68696 are 2, 31, 277. Prime factorization of 68696 in exponential form is:
68696 = 23 × 311 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 68687 and 68696.
LCM(68687,68696) = 686871 × 23 × 311 × 2771
LCM(68687,68696) = 4718522152
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