What is the Least Common Multiple of 54809 and 54820?
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 54809 and 54820 is 3004629380.
LCM(54809,54820) = 3004629380
Least Common Multiple of 54809 and 54820 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54809 and 54820, than apply into the LCM equation.
GCF(54809,54820) = 1
LCM(54809,54820) = ( 54809 × 54820) / 1
LCM(54809,54820) = 3004629380 / 1
LCM(54809,54820) = 3004629380
Least Common Multiple (LCM) of 54809 and 54820 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54809 and 54820. First we will calculate the prime factors of 54809 and 54820.
Prime Factorization of 54809
Prime factors of 54809 are 23, 2383. Prime factorization of 54809 in exponential form is:
54809 = 231 × 23831
Prime Factorization of 54820
Prime factors of 54820 are 2, 5, 2741. Prime factorization of 54820 in exponential form is:
54820 = 22 × 51 × 27411
Now multiplying the highest exponent prime factors to calculate the LCM of 54809 and 54820.
LCM(54809,54820) = 231 × 23831 × 22 × 51 × 27411
LCM(54809,54820) = 3004629380
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