What is the Least Common Multiple of 8319 and 8330?
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 8319 and 8330 is 69297270.
LCM(8319,8330) = 69297270
Least Common Multiple of 8319 and 8330 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8319 and 8330, than apply into the LCM equation.
GCF(8319,8330) = 1
LCM(8319,8330) = ( 8319 × 8330) / 1
LCM(8319,8330) = 69297270 / 1
LCM(8319,8330) = 69297270
Least Common Multiple (LCM) of 8319 and 8330 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8319 and 8330. First we will calculate the prime factors of 8319 and 8330.
Prime Factorization of 8319
Prime factors of 8319 are 3, 47, 59. Prime factorization of 8319 in exponential form is:
8319 = 31 × 471 × 591
Prime Factorization of 8330
Prime factors of 8330 are 2, 5, 7, 17. Prime factorization of 8330 in exponential form is:
8330 = 21 × 51 × 72 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 8319 and 8330.
LCM(8319,8330) = 31 × 471 × 591 × 21 × 51 × 72 × 171
LCM(8319,8330) = 69297270
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