What is the Least Common Multiple of 60886 and 60894?
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 60886 and 60894 is 1853796042.
LCM(60886,60894) = 1853796042
Least Common Multiple of 60886 and 60894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60886 and 60894, than apply into the LCM equation.
GCF(60886,60894) = 2
LCM(60886,60894) = ( 60886 × 60894) / 2
LCM(60886,60894) = 3707592084 / 2
LCM(60886,60894) = 1853796042
Least Common Multiple (LCM) of 60886 and 60894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60886 and 60894. First we will calculate the prime factors of 60886 and 60894.
Prime Factorization of 60886
Prime factors of 60886 are 2, 7, 4349. Prime factorization of 60886 in exponential form is:
60886 = 21 × 71 × 43491
Prime Factorization of 60894
Prime factors of 60894 are 2, 3, 17, 199. Prime factorization of 60894 in exponential form is:
60894 = 21 × 32 × 171 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 60886 and 60894.
LCM(60886,60894) = 21 × 71 × 43491 × 32 × 171 × 1991
LCM(60886,60894) = 1853796042
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