What is the Least Common Multiple of 4875 and 4879?
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 4875 and 4879 is 23785125.
LCM(4875,4879) = 23785125
Least Common Multiple of 4875 and 4879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4875 and 4879, than apply into the LCM equation.
GCF(4875,4879) = 1
LCM(4875,4879) = ( 4875 × 4879) / 1
LCM(4875,4879) = 23785125 / 1
LCM(4875,4879) = 23785125
Least Common Multiple (LCM) of 4875 and 4879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4875 and 4879. First we will calculate the prime factors of 4875 and 4879.
Prime Factorization of 4875
Prime factors of 4875 are 3, 5, 13. Prime factorization of 4875 in exponential form is:
4875 = 31 × 53 × 131
Prime Factorization of 4879
Prime factors of 4879 are 7, 17, 41. Prime factorization of 4879 in exponential form is:
4879 = 71 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 4875 and 4879.
LCM(4875,4879) = 31 × 53 × 131 × 71 × 171 × 411
LCM(4875,4879) = 23785125
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