What is the Least Common Multiple of 8210 and 8218?
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 8210 and 8218 is 33734890.
LCM(8210,8218) = 33734890
Least Common Multiple of 8210 and 8218 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8210 and 8218, than apply into the LCM equation.
GCF(8210,8218) = 2
LCM(8210,8218) = ( 8210 × 8218) / 2
LCM(8210,8218) = 67469780 / 2
LCM(8210,8218) = 33734890
Least Common Multiple (LCM) of 8210 and 8218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8210 and 8218. First we will calculate the prime factors of 8210 and 8218.
Prime Factorization of 8210
Prime factors of 8210 are 2, 5, 821. Prime factorization of 8210 in exponential form is:
8210 = 21 × 51 × 8211
Prime Factorization of 8218
Prime factors of 8218 are 2, 7, 587. Prime factorization of 8218 in exponential form is:
8218 = 21 × 71 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 8210 and 8218.
LCM(8210,8218) = 21 × 51 × 8211 × 71 × 5871
LCM(8210,8218) = 33734890
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