What is the Least Common Multiple of 54806 and 54826?
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 54806 and 54826 is 1502396878.
LCM(54806,54826) = 1502396878
Least Common Multiple of 54806 and 54826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54806 and 54826, than apply into the LCM equation.
GCF(54806,54826) = 2
LCM(54806,54826) = ( 54806 × 54826) / 2
LCM(54806,54826) = 3004793756 / 2
LCM(54806,54826) = 1502396878
Least Common Multiple (LCM) of 54806 and 54826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54806 and 54826. First we will calculate the prime factors of 54806 and 54826.
Prime Factorization of 54806
Prime factors of 54806 are 2, 67, 409. Prime factorization of 54806 in exponential form is:
54806 = 21 × 671 × 4091
Prime Factorization of 54826
Prime factors of 54826 are 2, 79, 347. Prime factorization of 54826 in exponential form is:
54826 = 21 × 791 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 54806 and 54826.
LCM(54806,54826) = 21 × 671 × 4091 × 791 × 3471
LCM(54806,54826) = 1502396878
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