What is the Least Common Multiple of 65282 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 65282 and 65299 is 4262849318.
LCM(65282,65299) = 4262849318
Least Common Multiple of 65282 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 65282 and 65299, than apply into the LCM equation.
GCF(65282,65299) = 1
LCM(65282,65299) = ( 65282 × 65299) / 1
LCM(65282,65299) = 4262849318 / 1
LCM(65282,65299) = 4262849318
Least Common Multiple (LCM) of 65282 and 65299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65282 and 65299. First we will calculate the prime factors of 65282 and 65299.
Prime Factorization of 65282
Prime factors of 65282 are 2, 7, 4663. Prime factorization of 65282 in exponential form is:
65282 = 21 × 71 × 46631
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 65282 and 65299.
LCM(65282,65299) = 21 × 71 × 46631 × 131 × 50231
LCM(65282,65299) = 4262849318
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