What is the Least Common Multiple of 53299 and 53303?
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 53299 and 53303 is 2840996597.
LCM(53299,53303) = 2840996597
Least Common Multiple of 53299 and 53303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53299 and 53303, than apply into the LCM equation.
GCF(53299,53303) = 1
LCM(53299,53303) = ( 53299 × 53303) / 1
LCM(53299,53303) = 2840996597 / 1
LCM(53299,53303) = 2840996597
Least Common Multiple (LCM) of 53299 and 53303 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53299 and 53303. First we will calculate the prime factors of 53299 and 53303.
Prime Factorization of 53299
Prime factors of 53299 are 53299. Prime factorization of 53299 in exponential form is:
53299 = 532991
Prime Factorization of 53303
Prime factors of 53303 are 151, 353. Prime factorization of 53303 in exponential form is:
53303 = 1511 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 53299 and 53303.
LCM(53299,53303) = 532991 × 1511 × 3531
LCM(53299,53303) = 2840996597
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