What is the Least Common Multiple of 54776 and 54781?
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 54776 and 54781 is 3000684056.
LCM(54776,54781) = 3000684056
Least Common Multiple of 54776 and 54781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54776 and 54781, than apply into the LCM equation.
GCF(54776,54781) = 1
LCM(54776,54781) = ( 54776 × 54781) / 1
LCM(54776,54781) = 3000684056 / 1
LCM(54776,54781) = 3000684056
Least Common Multiple (LCM) of 54776 and 54781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54776 and 54781. First we will calculate the prime factors of 54776 and 54781.
Prime Factorization of 54776
Prime factors of 54776 are 2, 41, 167. Prime factorization of 54776 in exponential form is:
54776 = 23 × 411 × 1671
Prime Factorization of 54781
Prime factors of 54781 are 29, 1889. Prime factorization of 54781 in exponential form is:
54781 = 291 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 54776 and 54781.
LCM(54776,54781) = 23 × 411 × 1671 × 291 × 18891
LCM(54776,54781) = 3000684056
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