What is the Least Common Multiple of 54771 and 54786?
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 54771 and 54786 is 1000228002.
LCM(54771,54786) = 1000228002
Least Common Multiple of 54771 and 54786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54771 and 54786, than apply into the LCM equation.
GCF(54771,54786) = 3
LCM(54771,54786) = ( 54771 × 54786) / 3
LCM(54771,54786) = 3000684006 / 3
LCM(54771,54786) = 1000228002
Least Common Multiple (LCM) of 54771 and 54786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54771 and 54786. First we will calculate the prime factors of 54771 and 54786.
Prime Factorization of 54771
Prime factors of 54771 are 3, 18257. Prime factorization of 54771 in exponential form is:
54771 = 31 × 182571
Prime Factorization of 54786
Prime factors of 54786 are 2, 3, 23, 397. Prime factorization of 54786 in exponential form is:
54786 = 21 × 31 × 231 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 54771 and 54786.
LCM(54771,54786) = 31 × 182571 × 21 × 231 × 3971
LCM(54771,54786) = 1000228002
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