What is the Least Common Multiple of 59233 and 59240?
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 59233 and 59240 is 3508962920.
LCM(59233,59240) = 3508962920
Least Common Multiple of 59233 and 59240 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59233 and 59240, than apply into the LCM equation.
GCF(59233,59240) = 1
LCM(59233,59240) = ( 59233 × 59240) / 1
LCM(59233,59240) = 3508962920 / 1
LCM(59233,59240) = 3508962920
Least Common Multiple (LCM) of 59233 and 59240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59233 and 59240. First we will calculate the prime factors of 59233 and 59240.
Prime Factorization of 59233
Prime factors of 59233 are 59233. Prime factorization of 59233 in exponential form is:
59233 = 592331
Prime Factorization of 59240
Prime factors of 59240 are 2, 5, 1481. Prime factorization of 59240 in exponential form is:
59240 = 23 × 51 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 59233 and 59240.
LCM(59233,59240) = 592331 × 23 × 51 × 14811
LCM(59233,59240) = 3508962920
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