What is the Least Common Multiple of 55456 and 55471?
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 55456 and 55471 is 3076199776.
LCM(55456,55471) = 3076199776
Least Common Multiple of 55456 and 55471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55456 and 55471, than apply into the LCM equation.
GCF(55456,55471) = 1
LCM(55456,55471) = ( 55456 × 55471) / 1
LCM(55456,55471) = 3076199776 / 1
LCM(55456,55471) = 3076199776
Least Common Multiple (LCM) of 55456 and 55471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55456 and 55471. First we will calculate the prime factors of 55456 and 55471.
Prime Factorization of 55456
Prime factors of 55456 are 2, 1733. Prime factorization of 55456 in exponential form is:
55456 = 25 × 17331
Prime Factorization of 55471
Prime factors of 55471 are 13, 17, 251. Prime factorization of 55471 in exponential form is:
55471 = 131 × 171 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 55456 and 55471.
LCM(55456,55471) = 25 × 17331 × 131 × 171 × 2511
LCM(55456,55471) = 3076199776
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