What is the Least Common Multiple of 60886 and 60891?
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 60891 is 3707409426.
LCM(60886,60891) = 3707409426
Least Common Multiple of 60886 and 60891 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 60891, than apply into the LCM equation.
GCF(60886,60891) = 1
LCM(60886,60891) = ( 60886 × 60891) / 1
LCM(60886,60891) = 3707409426 / 1
LCM(60886,60891) = 3707409426
Least Common Multiple (LCM) of 60886 and 60891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60886 and 60891. First we will calculate the prime factors of 60886 and 60891.
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 60891
Prime factors of 60891 are 3, 20297. Prime factorization of 60891 in exponential form is:
60891 = 31 × 202971
Now multiplying the highest exponent prime factors to calculate the LCM of 60886 and 60891.
LCM(60886,60891) = 21 × 71 × 43491 × 31 × 202971
LCM(60886,60891) = 3707409426
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