What is the Least Common Multiple of 54795 and 54808?
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 54795 and 54808 is 231015720.
LCM(54795,54808) = 231015720
Least Common Multiple of 54795 and 54808 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54795 and 54808, than apply into the LCM equation.
GCF(54795,54808) = 13
LCM(54795,54808) = ( 54795 × 54808) / 13
LCM(54795,54808) = 3003204360 / 13
LCM(54795,54808) = 231015720
Least Common Multiple (LCM) of 54795 and 54808 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54795 and 54808. First we will calculate the prime factors of 54795 and 54808.
Prime Factorization of 54795
Prime factors of 54795 are 3, 5, 13, 281. Prime factorization of 54795 in exponential form is:
54795 = 31 × 51 × 131 × 2811
Prime Factorization of 54808
Prime factors of 54808 are 2, 13, 17, 31. Prime factorization of 54808 in exponential form is:
54808 = 23 × 131 × 171 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 54795 and 54808.
LCM(54795,54808) = 31 × 51 × 131 × 2811 × 23 × 171 × 311
LCM(54795,54808) = 231015720
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