What is the Least Common Multiple of 32682 and 32699?
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 32682 and 32699 is 1068668718.
LCM(32682,32699) = 1068668718
Least Common Multiple of 32682 and 32699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32682 and 32699, than apply into the LCM equation.
GCF(32682,32699) = 1
LCM(32682,32699) = ( 32682 × 32699) / 1
LCM(32682,32699) = 1068668718 / 1
LCM(32682,32699) = 1068668718
Least Common Multiple (LCM) of 32682 and 32699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32682 and 32699. First we will calculate the prime factors of 32682 and 32699.
Prime Factorization of 32682
Prime factors of 32682 are 2, 3, 13, 419. Prime factorization of 32682 in exponential form is:
32682 = 21 × 31 × 131 × 4191
Prime Factorization of 32699
Prime factors of 32699 are 19, 1721. Prime factorization of 32699 in exponential form is:
32699 = 191 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 32682 and 32699.
LCM(32682,32699) = 21 × 31 × 131 × 4191 × 191 × 17211
LCM(32682,32699) = 1068668718
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