What is the Least Common Multiple of 24055 and 24061?
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 24055 and 24061 is 578787355.
LCM(24055,24061) = 578787355
Least Common Multiple of 24055 and 24061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24055 and 24061, than apply into the LCM equation.
GCF(24055,24061) = 1
LCM(24055,24061) = ( 24055 × 24061) / 1
LCM(24055,24061) = 578787355 / 1
LCM(24055,24061) = 578787355
Least Common Multiple (LCM) of 24055 and 24061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24055 and 24061. First we will calculate the prime factors of 24055 and 24061.
Prime Factorization of 24055
Prime factors of 24055 are 5, 17, 283. Prime factorization of 24055 in exponential form is:
24055 = 51 × 171 × 2831
Prime Factorization of 24061
Prime factors of 24061 are 24061. Prime factorization of 24061 in exponential form is:
24061 = 240611
Now multiplying the highest exponent prime factors to calculate the LCM of 24055 and 24061.
LCM(24055,24061) = 51 × 171 × 2831 × 240611
LCM(24055,24061) = 578787355
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