What is the Least Common Multiple of 65288 and 65299?
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 65288 and 65299 is 4263241112.
LCM(65288,65299) = 4263241112
Least Common Multiple of 65288 and 65299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65288 and 65299, than apply into the LCM equation.
GCF(65288,65299) = 1
LCM(65288,65299) = ( 65288 × 65299) / 1
LCM(65288,65299) = 4263241112 / 1
LCM(65288,65299) = 4263241112
Least Common Multiple (LCM) of 65288 and 65299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65288 and 65299. First we will calculate the prime factors of 65288 and 65299.
Prime Factorization of 65288
Prime factors of 65288 are 2, 8161. Prime factorization of 65288 in exponential form is:
65288 = 23 × 81611
Prime Factorization of 65299
Prime factors of 65299 are 13, 5023. Prime factorization of 65299 in exponential form is:
65299 = 131 × 50231
Now multiplying the highest exponent prime factors to calculate the LCM of 65288 and 65299.
LCM(65288,65299) = 23 × 81611 × 131 × 50231
LCM(65288,65299) = 4263241112
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