What is the Least Common Multiple of 54837 and 54854?
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 54837 and 54854 is 3008028798.
LCM(54837,54854) = 3008028798
Least Common Multiple of 54837 and 54854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54837 and 54854, than apply into the LCM equation.
GCF(54837,54854) = 1
LCM(54837,54854) = ( 54837 × 54854) / 1
LCM(54837,54854) = 3008028798 / 1
LCM(54837,54854) = 3008028798
Least Common Multiple (LCM) of 54837 and 54854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54837 and 54854. First we will calculate the prime factors of 54837 and 54854.
Prime Factorization of 54837
Prime factors of 54837 are 3, 677. Prime factorization of 54837 in exponential form is:
54837 = 34 × 6771
Prime Factorization of 54854
Prime factors of 54854 are 2, 27427. Prime factorization of 54854 in exponential form is:
54854 = 21 × 274271
Now multiplying the highest exponent prime factors to calculate the LCM of 54837 and 54854.
LCM(54837,54854) = 34 × 6771 × 21 × 274271
LCM(54837,54854) = 3008028798
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