What is the Least Common Multiple of 53477 and 53481?
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 53477 and 53481 is 2860003437.
LCM(53477,53481) = 2860003437
Least Common Multiple of 53477 and 53481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53477 and 53481, than apply into the LCM equation.
GCF(53477,53481) = 1
LCM(53477,53481) = ( 53477 × 53481) / 1
LCM(53477,53481) = 2860003437 / 1
LCM(53477,53481) = 2860003437
Least Common Multiple (LCM) of 53477 and 53481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53477 and 53481. First we will calculate the prime factors of 53477 and 53481.
Prime Factorization of 53477
Prime factors of 53477 are 53, 1009. Prime factorization of 53477 in exponential form is:
53477 = 531 × 10091
Prime Factorization of 53481
Prime factors of 53481 are 3, 17827. Prime factorization of 53481 in exponential form is:
53481 = 31 × 178271
Now multiplying the highest exponent prime factors to calculate the LCM of 53477 and 53481.
LCM(53477,53481) = 531 × 10091 × 31 × 178271
LCM(53477,53481) = 2860003437
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