What is the Least Common Multiple of 5461 and 5471?
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 5461 and 5471 is 29877131.
LCM(5461,5471) = 29877131
Least Common Multiple of 5461 and 5471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5461 and 5471, than apply into the LCM equation.
GCF(5461,5471) = 1
LCM(5461,5471) = ( 5461 × 5471) / 1
LCM(5461,5471) = 29877131 / 1
LCM(5461,5471) = 29877131
Least Common Multiple (LCM) of 5461 and 5471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5461 and 5471. First we will calculate the prime factors of 5461 and 5471.
Prime Factorization of 5461
Prime factors of 5461 are 43, 127. Prime factorization of 5461 in exponential form is:
5461 = 431 × 1271
Prime Factorization of 5471
Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:
5471 = 54711
Now multiplying the highest exponent prime factors to calculate the LCM of 5461 and 5471.
LCM(5461,5471) = 431 × 1271 × 54711
LCM(5461,5471) = 29877131
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