What is the Least Common Multiple of 59019 and 59032?
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 59019 and 59032 is 3484009608.
LCM(59019,59032) = 3484009608
Least Common Multiple of 59019 and 59032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59019 and 59032, than apply into the LCM equation.
GCF(59019,59032) = 1
LCM(59019,59032) = ( 59019 × 59032) / 1
LCM(59019,59032) = 3484009608 / 1
LCM(59019,59032) = 3484009608
Least Common Multiple (LCM) of 59019 and 59032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59019 and 59032. First we will calculate the prime factors of 59019 and 59032.
Prime Factorization of 59019
Prime factors of 59019 are 3, 103, 191. Prime factorization of 59019 in exponential form is:
59019 = 31 × 1031 × 1911
Prime Factorization of 59032
Prime factors of 59032 are 2, 47, 157. Prime factorization of 59032 in exponential form is:
59032 = 23 × 471 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 59019 and 59032.
LCM(59019,59032) = 31 × 1031 × 1911 × 23 × 471 × 1571
LCM(59019,59032) = 3484009608
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