What is the Least Common Multiple of 8262 and 8282?
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 8262 and 8282 is 34212942.
LCM(8262,8282) = 34212942
Least Common Multiple of 8262 and 8282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8262 and 8282, than apply into the LCM equation.
GCF(8262,8282) = 2
LCM(8262,8282) = ( 8262 × 8282) / 2
LCM(8262,8282) = 68425884 / 2
LCM(8262,8282) = 34212942
Least Common Multiple (LCM) of 8262 and 8282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8262 and 8282. First we will calculate the prime factors of 8262 and 8282.
Prime Factorization of 8262
Prime factors of 8262 are 2, 3, 17. Prime factorization of 8262 in exponential form is:
8262 = 21 × 35 × 171
Prime Factorization of 8282
Prime factors of 8282 are 2, 41, 101. Prime factorization of 8282 in exponential form is:
8282 = 21 × 411 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 8262 and 8282.
LCM(8262,8282) = 21 × 35 × 171 × 411 × 1011
LCM(8262,8282) = 34212942
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