What is the Least Common Multiple of 59011 and 59030?
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 59011 and 59030 is 3483419330.
LCM(59011,59030) = 3483419330
Least Common Multiple of 59011 and 59030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59011 and 59030, than apply into the LCM equation.
GCF(59011,59030) = 1
LCM(59011,59030) = ( 59011 × 59030) / 1
LCM(59011,59030) = 3483419330 / 1
LCM(59011,59030) = 3483419330
Least Common Multiple (LCM) of 59011 and 59030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59011 and 59030. First we will calculate the prime factors of 59011 and 59030.
Prime Factorization of 59011
Prime factors of 59011 are 59011. Prime factorization of 59011 in exponential form is:
59011 = 590111
Prime Factorization of 59030
Prime factors of 59030 are 2, 5, 5903. Prime factorization of 59030 in exponential form is:
59030 = 21 × 51 × 59031
Now multiplying the highest exponent prime factors to calculate the LCM of 59011 and 59030.
LCM(59011,59030) = 590111 × 21 × 51 × 59031
LCM(59011,59030) = 3483419330
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