What is the Least Common Multiple of 24043 and 24058?
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 24043 and 24058 is 578426494.
LCM(24043,24058) = 578426494
Least Common Multiple of 24043 and 24058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24043 and 24058, than apply into the LCM equation.
GCF(24043,24058) = 1
LCM(24043,24058) = ( 24043 × 24058) / 1
LCM(24043,24058) = 578426494 / 1
LCM(24043,24058) = 578426494
Least Common Multiple (LCM) of 24043 and 24058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24043 and 24058. First we will calculate the prime factors of 24043 and 24058.
Prime Factorization of 24043
Prime factors of 24043 are 24043. Prime factorization of 24043 in exponential form is:
24043 = 240431
Prime Factorization of 24058
Prime factors of 24058 are 2, 23, 523. Prime factorization of 24058 in exponential form is:
24058 = 21 × 231 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 24043 and 24058.
LCM(24043,24058) = 240431 × 21 × 231 × 5231
LCM(24043,24058) = 578426494
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