What is the Least Common Multiple of 59433 and 59438?
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 59433 and 59438 is 3532578654.
LCM(59433,59438) = 3532578654
Least Common Multiple of 59433 and 59438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59433 and 59438, than apply into the LCM equation.
GCF(59433,59438) = 1
LCM(59433,59438) = ( 59433 × 59438) / 1
LCM(59433,59438) = 3532578654 / 1
LCM(59433,59438) = 3532578654
Least Common Multiple (LCM) of 59433 and 59438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59433 and 59438. First we will calculate the prime factors of 59433 and 59438.
Prime Factorization of 59433
Prime factors of 59433 are 3, 11, 1801. Prime factorization of 59433 in exponential form is:
59433 = 31 × 111 × 18011
Prime Factorization of 59438
Prime factors of 59438 are 2, 113, 263. Prime factorization of 59438 in exponential form is:
59438 = 21 × 1131 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 59433 and 59438.
LCM(59433,59438) = 31 × 111 × 18011 × 21 × 1131 × 2631
LCM(59433,59438) = 3532578654
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Related Least Common Multiples of 59438
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