What is the Least Common Multiple of 54783 and 54801?
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 54783 and 54801 is 333573687.
LCM(54783,54801) = 333573687
Least Common Multiple of 54783 and 54801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54783 and 54801, than apply into the LCM equation.
GCF(54783,54801) = 9
LCM(54783,54801) = ( 54783 × 54801) / 9
LCM(54783,54801) = 3002163183 / 9
LCM(54783,54801) = 333573687
Least Common Multiple (LCM) of 54783 and 54801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54783 and 54801. First we will calculate the prime factors of 54783 and 54801.
Prime Factorization of 54783
Prime factors of 54783 are 3, 2029. Prime factorization of 54783 in exponential form is:
54783 = 33 × 20291
Prime Factorization of 54801
Prime factors of 54801 are 3, 6089. Prime factorization of 54801 in exponential form is:
54801 = 32 × 60891
Now multiplying the highest exponent prime factors to calculate the LCM of 54783 and 54801.
LCM(54783,54801) = 33 × 20291 × 60891
LCM(54783,54801) = 333573687
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