What is the Least Common Multiple of 54836 and 54845?
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 54836 and 54845 is 3007480420.
LCM(54836,54845) = 3007480420
Least Common Multiple of 54836 and 54845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54836 and 54845, than apply into the LCM equation.
GCF(54836,54845) = 1
LCM(54836,54845) = ( 54836 × 54845) / 1
LCM(54836,54845) = 3007480420 / 1
LCM(54836,54845) = 3007480420
Least Common Multiple (LCM) of 54836 and 54845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54836 and 54845. First we will calculate the prime factors of 54836 and 54845.
Prime Factorization of 54836
Prime factors of 54836 are 2, 13709. Prime factorization of 54836 in exponential form is:
54836 = 22 × 137091
Prime Factorization of 54845
Prime factors of 54845 are 5, 7, 1567. Prime factorization of 54845 in exponential form is:
54845 = 51 × 71 × 15671
Now multiplying the highest exponent prime factors to calculate the LCM of 54836 and 54845.
LCM(54836,54845) = 22 × 137091 × 51 × 71 × 15671
LCM(54836,54845) = 3007480420
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