What is the Least Common Multiple of 34876 and 34885?
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 34876 and 34885 is 1216649260.
LCM(34876,34885) = 1216649260
Least Common Multiple of 34876 and 34885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34876 and 34885, than apply into the LCM equation.
GCF(34876,34885) = 1
LCM(34876,34885) = ( 34876 × 34885) / 1
LCM(34876,34885) = 1216649260 / 1
LCM(34876,34885) = 1216649260
Least Common Multiple (LCM) of 34876 and 34885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34876 and 34885. First we will calculate the prime factors of 34876 and 34885.
Prime Factorization of 34876
Prime factors of 34876 are 2, 8719. Prime factorization of 34876 in exponential form is:
34876 = 22 × 87191
Prime Factorization of 34885
Prime factors of 34885 are 5, 6977. Prime factorization of 34885 in exponential form is:
34885 = 51 × 69771
Now multiplying the highest exponent prime factors to calculate the LCM of 34876 and 34885.
LCM(34876,34885) = 22 × 87191 × 51 × 69771
LCM(34876,34885) = 1216649260
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