What is the Least Common Multiple of 4681 and 4689?
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 4681 and 4689 is 21949209.
LCM(4681,4689) = 21949209
Least Common Multiple of 4681 and 4689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4681 and 4689, than apply into the LCM equation.
GCF(4681,4689) = 1
LCM(4681,4689) = ( 4681 × 4689) / 1
LCM(4681,4689) = 21949209 / 1
LCM(4681,4689) = 21949209
Least Common Multiple (LCM) of 4681 and 4689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4681 and 4689. First we will calculate the prime factors of 4681 and 4689.
Prime Factorization of 4681
Prime factors of 4681 are 31, 151. Prime factorization of 4681 in exponential form is:
4681 = 311 × 1511
Prime Factorization of 4689
Prime factors of 4689 are 3, 521. Prime factorization of 4689 in exponential form is:
4689 = 32 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 4681 and 4689.
LCM(4681,4689) = 311 × 1511 × 32 × 5211
LCM(4681,4689) = 21949209
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