What is the Least Common Multiple of 68857 and 68862?
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 68857 and 68862 is 4741630734.
LCM(68857,68862) = 4741630734
Least Common Multiple of 68857 and 68862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68857 and 68862, than apply into the LCM equation.
GCF(68857,68862) = 1
LCM(68857,68862) = ( 68857 × 68862) / 1
LCM(68857,68862) = 4741630734 / 1
LCM(68857,68862) = 4741630734
Least Common Multiple (LCM) of 68857 and 68862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68857 and 68862. First we will calculate the prime factors of 68857 and 68862.
Prime Factorization of 68857
Prime factors of 68857 are 37, 1861. Prime factorization of 68857 in exponential form is:
68857 = 371 × 18611
Prime Factorization of 68862
Prime factors of 68862 are 2, 3, 23, 499. Prime factorization of 68862 in exponential form is:
68862 = 21 × 31 × 231 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 68857 and 68862.
LCM(68857,68862) = 371 × 18611 × 21 × 31 × 231 × 4991
LCM(68857,68862) = 4741630734
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