What is the Least Common Multiple of 4670 and 4679?
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 4670 and 4679 is 21850930.
LCM(4670,4679) = 21850930
Least Common Multiple of 4670 and 4679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4670 and 4679, than apply into the LCM equation.
GCF(4670,4679) = 1
LCM(4670,4679) = ( 4670 × 4679) / 1
LCM(4670,4679) = 21850930 / 1
LCM(4670,4679) = 21850930
Least Common Multiple (LCM) of 4670 and 4679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4670 and 4679. First we will calculate the prime factors of 4670 and 4679.
Prime Factorization of 4670
Prime factors of 4670 are 2, 5, 467. Prime factorization of 4670 in exponential form is:
4670 = 21 × 51 × 4671
Prime Factorization of 4679
Prime factors of 4679 are 4679. Prime factorization of 4679 in exponential form is:
4679 = 46791
Now multiplying the highest exponent prime factors to calculate the LCM of 4670 and 4679.
LCM(4670,4679) = 21 × 51 × 4671 × 46791
LCM(4670,4679) = 21850930
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