What is the Least Common Multiple of 24062 and 24071?
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 24062 and 24071 is 579196402.
LCM(24062,24071) = 579196402
Least Common Multiple of 24062 and 24071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24062 and 24071, than apply into the LCM equation.
GCF(24062,24071) = 1
LCM(24062,24071) = ( 24062 × 24071) / 1
LCM(24062,24071) = 579196402 / 1
LCM(24062,24071) = 579196402
Least Common Multiple (LCM) of 24062 and 24071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24062 and 24071. First we will calculate the prime factors of 24062 and 24071.
Prime Factorization of 24062
Prime factors of 24062 are 2, 53, 227. Prime factorization of 24062 in exponential form is:
24062 = 21 × 531 × 2271
Prime Factorization of 24071
Prime factors of 24071 are 24071. Prime factorization of 24071 in exponential form is:
24071 = 240711
Now multiplying the highest exponent prime factors to calculate the LCM of 24062 and 24071.
LCM(24062,24071) = 21 × 531 × 2271 × 240711
LCM(24062,24071) = 579196402
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