What is the Least Common Multiple of 6598 and 6615?
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 6598 and 6615 is 43645770.
LCM(6598,6615) = 43645770
Least Common Multiple of 6598 and 6615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6598 and 6615, than apply into the LCM equation.
GCF(6598,6615) = 1
LCM(6598,6615) = ( 6598 × 6615) / 1
LCM(6598,6615) = 43645770 / 1
LCM(6598,6615) = 43645770
Least Common Multiple (LCM) of 6598 and 6615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6598 and 6615. First we will calculate the prime factors of 6598 and 6615.
Prime Factorization of 6598
Prime factors of 6598 are 2, 3299. Prime factorization of 6598 in exponential form is:
6598 = 21 × 32991
Prime Factorization of 6615
Prime factors of 6615 are 3, 5, 7. Prime factorization of 6615 in exponential form is:
6615 = 33 × 51 × 72
Now multiplying the highest exponent prime factors to calculate the LCM of 6598 and 6615.
LCM(6598,6615) = 21 × 32991 × 33 × 51 × 72
LCM(6598,6615) = 43645770
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