What is the Least Common Multiple of 8298 and 8314?
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 8298 and 8314 is 34494786.
LCM(8298,8314) = 34494786
Least Common Multiple of 8298 and 8314 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8298 and 8314, than apply into the LCM equation.
GCF(8298,8314) = 2
LCM(8298,8314) = ( 8298 × 8314) / 2
LCM(8298,8314) = 68989572 / 2
LCM(8298,8314) = 34494786
Least Common Multiple (LCM) of 8298 and 8314 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8298 and 8314. First we will calculate the prime factors of 8298 and 8314.
Prime Factorization of 8298
Prime factors of 8298 are 2, 3, 461. Prime factorization of 8298 in exponential form is:
8298 = 21 × 32 × 4611
Prime Factorization of 8314
Prime factors of 8314 are 2, 4157. Prime factorization of 8314 in exponential form is:
8314 = 21 × 41571
Now multiplying the highest exponent prime factors to calculate the LCM of 8298 and 8314.
LCM(8298,8314) = 21 × 32 × 4611 × 41571
LCM(8298,8314) = 34494786
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