What is the Least Common Multiple of 82426 and 82430?
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 82426 and 82430 is 3397187590.
LCM(82426,82430) = 3397187590
Least Common Multiple of 82426 and 82430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82426 and 82430, than apply into the LCM equation.
GCF(82426,82430) = 2
LCM(82426,82430) = ( 82426 × 82430) / 2
LCM(82426,82430) = 6794375180 / 2
LCM(82426,82430) = 3397187590
Least Common Multiple (LCM) of 82426 and 82430 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82426 and 82430. First we will calculate the prime factors of 82426 and 82430.
Prime Factorization of 82426
Prime factors of 82426 are 2, 41213. Prime factorization of 82426 in exponential form is:
82426 = 21 × 412131
Prime Factorization of 82430
Prime factors of 82430 are 2, 5, 8243. Prime factorization of 82430 in exponential form is:
82430 = 21 × 51 × 82431
Now multiplying the highest exponent prime factors to calculate the LCM of 82426 and 82430.
LCM(82426,82430) = 21 × 412131 × 51 × 82431
LCM(82426,82430) = 3397187590
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