What is the Least Common Multiple of 54723 and 54728?
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 54723 and 54728 is 2994880344.
LCM(54723,54728) = 2994880344
Least Common Multiple of 54723 and 54728 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54723 and 54728, than apply into the LCM equation.
GCF(54723,54728) = 1
LCM(54723,54728) = ( 54723 × 54728) / 1
LCM(54723,54728) = 2994880344 / 1
LCM(54723,54728) = 2994880344
Least Common Multiple (LCM) of 54723 and 54728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54723 and 54728. First we will calculate the prime factors of 54723 and 54728.
Prime Factorization of 54723
Prime factors of 54723 are 3, 17, 29, 37. Prime factorization of 54723 in exponential form is:
54723 = 31 × 171 × 291 × 371
Prime Factorization of 54728
Prime factors of 54728 are 2, 6841. Prime factorization of 54728 in exponential form is:
54728 = 23 × 68411
Now multiplying the highest exponent prime factors to calculate the LCM of 54723 and 54728.
LCM(54723,54728) = 31 × 171 × 291 × 371 × 23 × 68411
LCM(54723,54728) = 2994880344
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