What is the Least Common Multiple of 8255 and 8262?
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 8255 and 8262 is 68202810.
LCM(8255,8262) = 68202810
Least Common Multiple of 8255 and 8262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8255 and 8262, than apply into the LCM equation.
GCF(8255,8262) = 1
LCM(8255,8262) = ( 8255 × 8262) / 1
LCM(8255,8262) = 68202810 / 1
LCM(8255,8262) = 68202810
Least Common Multiple (LCM) of 8255 and 8262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8255 and 8262. First we will calculate the prime factors of 8255 and 8262.
Prime Factorization of 8255
Prime factors of 8255 are 5, 13, 127. Prime factorization of 8255 in exponential form is:
8255 = 51 × 131 × 1271
Prime Factorization of 8262
Prime factors of 8262 are 2, 3, 17. Prime factorization of 8262 in exponential form is:
8262 = 21 × 35 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 8255 and 8262.
LCM(8255,8262) = 51 × 131 × 1271 × 21 × 35 × 171
LCM(8255,8262) = 68202810
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