What is the Least Common Multiple of 59281 and 59299?
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 59281 and 59299 is 3515304019.
LCM(59281,59299) = 3515304019
Least Common Multiple of 59281 and 59299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59281 and 59299, than apply into the LCM equation.
GCF(59281,59299) = 1
LCM(59281,59299) = ( 59281 × 59299) / 1
LCM(59281,59299) = 3515304019 / 1
LCM(59281,59299) = 3515304019
Least Common Multiple (LCM) of 59281 and 59299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59281 and 59299. First we will calculate the prime factors of 59281 and 59299.
Prime Factorization of 59281
Prime factors of 59281 are 59281. Prime factorization of 59281 in exponential form is:
59281 = 592811
Prime Factorization of 59299
Prime factors of 59299 are 19, 3121. Prime factorization of 59299 in exponential form is:
59299 = 191 × 31211
Now multiplying the highest exponent prime factors to calculate the LCM of 59281 and 59299.
LCM(59281,59299) = 592811 × 191 × 31211
LCM(59281,59299) = 3515304019
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