What is the Least Common Multiple of 8299 and 8315?
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 8299 and 8315 is 69006185.
LCM(8299,8315) = 69006185
Least Common Multiple of 8299 and 8315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8299 and 8315, than apply into the LCM equation.
GCF(8299,8315) = 1
LCM(8299,8315) = ( 8299 × 8315) / 1
LCM(8299,8315) = 69006185 / 1
LCM(8299,8315) = 69006185
Least Common Multiple (LCM) of 8299 and 8315 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8299 and 8315. First we will calculate the prime factors of 8299 and 8315.
Prime Factorization of 8299
Prime factors of 8299 are 43, 193. Prime factorization of 8299 in exponential form is:
8299 = 431 × 1931
Prime Factorization of 8315
Prime factors of 8315 are 5, 1663. Prime factorization of 8315 in exponential form is:
8315 = 51 × 16631
Now multiplying the highest exponent prime factors to calculate the LCM of 8299 and 8315.
LCM(8299,8315) = 431 × 1931 × 51 × 16631
LCM(8299,8315) = 69006185
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