What is the Least Common Multiple of 24054 and 24073?
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 24054 and 24073 is 30476418.
LCM(24054,24073) = 30476418
Least Common Multiple of 24054 and 24073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24054 and 24073, than apply into the LCM equation.
GCF(24054,24073) = 19
LCM(24054,24073) = ( 24054 × 24073) / 19
LCM(24054,24073) = 579051942 / 19
LCM(24054,24073) = 30476418
Least Common Multiple (LCM) of 24054 and 24073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24054 and 24073. First we will calculate the prime factors of 24054 and 24073.
Prime Factorization of 24054
Prime factors of 24054 are 2, 3, 19, 211. Prime factorization of 24054 in exponential form is:
24054 = 21 × 31 × 191 × 2111
Prime Factorization of 24073
Prime factors of 24073 are 7, 19, 181. Prime factorization of 24073 in exponential form is:
24073 = 71 × 191 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 24054 and 24073.
LCM(24054,24073) = 21 × 31 × 191 × 2111 × 71 × 1811
LCM(24054,24073) = 30476418
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