What is the Least Common Multiple of 58024 and 58032?
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 58024 and 58032 is 420906096.
LCM(58024,58032) = 420906096
Least Common Multiple of 58024 and 58032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58024 and 58032, than apply into the LCM equation.
GCF(58024,58032) = 8
LCM(58024,58032) = ( 58024 × 58032) / 8
LCM(58024,58032) = 3367248768 / 8
LCM(58024,58032) = 420906096
Least Common Multiple (LCM) of 58024 and 58032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58024 and 58032. First we will calculate the prime factors of 58024 and 58032.
Prime Factorization of 58024
Prime factors of 58024 are 2, 7253. Prime factorization of 58024 in exponential form is:
58024 = 23 × 72531
Prime Factorization of 58032
Prime factors of 58032 are 2, 3, 13, 31. Prime factorization of 58032 in exponential form is:
58032 = 24 × 32 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 58024 and 58032.
LCM(58024,58032) = 24 × 72531 × 32 × 131 × 311
LCM(58024,58032) = 420906096
Related Least Common Multiples of 58024
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Related Least Common Multiples of 58032
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