What is the Least Common Multiple of 28698 and 28713?
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 28698 and 28713 is 274668558.
LCM(28698,28713) = 274668558
Least Common Multiple of 28698 and 28713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28698 and 28713, than apply into the LCM equation.
GCF(28698,28713) = 3
LCM(28698,28713) = ( 28698 × 28713) / 3
LCM(28698,28713) = 824005674 / 3
LCM(28698,28713) = 274668558
Least Common Multiple (LCM) of 28698 and 28713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28698 and 28713. First we will calculate the prime factors of 28698 and 28713.
Prime Factorization of 28698
Prime factors of 28698 are 2, 3, 4783. Prime factorization of 28698 in exponential form is:
28698 = 21 × 31 × 47831
Prime Factorization of 28713
Prime factors of 28713 are 3, 17, 563. Prime factorization of 28713 in exponential form is:
28713 = 31 × 171 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 28698 and 28713.
LCM(28698,28713) = 21 × 31 × 47831 × 171 × 5631
LCM(28698,28713) = 274668558
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