What is the Least Common Multiple of 59352 and 59361?
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 59352 and 59361 is 1174398024.
LCM(59352,59361) = 1174398024
Least Common Multiple of 59352 and 59361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59352 and 59361, than apply into the LCM equation.
GCF(59352,59361) = 3
LCM(59352,59361) = ( 59352 × 59361) / 3
LCM(59352,59361) = 3523194072 / 3
LCM(59352,59361) = 1174398024
Least Common Multiple (LCM) of 59352 and 59361 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59352 and 59361. First we will calculate the prime factors of 59352 and 59361.
Prime Factorization of 59352
Prime factors of 59352 are 2, 3, 2473. Prime factorization of 59352 in exponential form is:
59352 = 23 × 31 × 24731
Prime Factorization of 59361
Prime factors of 59361 are 3, 47, 421. Prime factorization of 59361 in exponential form is:
59361 = 31 × 471 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 59352 and 59361.
LCM(59352,59361) = 23 × 31 × 24731 × 471 × 4211
LCM(59352,59361) = 1174398024
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