What is the Least Common Multiple of 59333 and 59337?
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 59333 and 59337 is 3520642221.
LCM(59333,59337) = 3520642221
Least Common Multiple of 59333 and 59337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59333 and 59337, than apply into the LCM equation.
GCF(59333,59337) = 1
LCM(59333,59337) = ( 59333 × 59337) / 1
LCM(59333,59337) = 3520642221 / 1
LCM(59333,59337) = 3520642221
Least Common Multiple (LCM) of 59333 and 59337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59333 and 59337. First we will calculate the prime factors of 59333 and 59337.
Prime Factorization of 59333
Prime factors of 59333 are 59333. Prime factorization of 59333 in exponential form is:
59333 = 593331
Prime Factorization of 59337
Prime factors of 59337 are 3, 19, 347. Prime factorization of 59337 in exponential form is:
59337 = 32 × 191 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 59333 and 59337.
LCM(59333,59337) = 593331 × 32 × 191 × 3471
LCM(59333,59337) = 3520642221
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