What is the Least Common Multiple of 54769 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 54769 and 54786 is 3000574434.
LCM(54769,54786) = 3000574434
Least Common Multiple of 54769 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 54769 and 54786, than apply into the LCM equation.
GCF(54769,54786) = 1
LCM(54769,54786) = ( 54769 × 54786) / 1
LCM(54769,54786) = 3000574434 / 1
LCM(54769,54786) = 3000574434
Least Common Multiple (LCM) of 54769 and 54786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54769 and 54786. First we will calculate the prime factors of 54769 and 54786.
Prime Factorization of 54769
Prime factors of 54769 are 11, 13, 383. Prime factorization of 54769 in exponential form is:
54769 = 111 × 131 × 3831
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 54769 and 54786.
LCM(54769,54786) = 111 × 131 × 3831 × 21 × 31 × 231 × 3971
LCM(54769,54786) = 3000574434
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