What is the Least Common Multiple of 59571 and 59576?
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 59571 and 59576 is 3549001896.
LCM(59571,59576) = 3549001896
Least Common Multiple of 59571 and 59576 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59571 and 59576, than apply into the LCM equation.
GCF(59571,59576) = 1
LCM(59571,59576) = ( 59571 × 59576) / 1
LCM(59571,59576) = 3549001896 / 1
LCM(59571,59576) = 3549001896
Least Common Multiple (LCM) of 59571 and 59576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59571 and 59576. First we will calculate the prime factors of 59571 and 59576.
Prime Factorization of 59571
Prime factors of 59571 are 3, 6619. Prime factorization of 59571 in exponential form is:
59571 = 32 × 66191
Prime Factorization of 59576
Prime factors of 59576 are 2, 11, 677. Prime factorization of 59576 in exponential form is:
59576 = 23 × 111 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 59571 and 59576.
LCM(59571,59576) = 32 × 66191 × 23 × 111 × 6771
LCM(59571,59576) = 3549001896
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Related Least Common Multiples of 59576
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- LCM of 59576 and 59596