What is the Least Common Multiple of 24022 and 24037?
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 24022 and 24037 is 577416814.
LCM(24022,24037) = 577416814
Least Common Multiple of 24022 and 24037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24022 and 24037, than apply into the LCM equation.
GCF(24022,24037) = 1
LCM(24022,24037) = ( 24022 × 24037) / 1
LCM(24022,24037) = 577416814 / 1
LCM(24022,24037) = 577416814
Least Common Multiple (LCM) of 24022 and 24037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24022 and 24037. First we will calculate the prime factors of 24022 and 24037.
Prime Factorization of 24022
Prime factors of 24022 are 2, 12011. Prime factorization of 24022 in exponential form is:
24022 = 21 × 120111
Prime Factorization of 24037
Prime factors of 24037 are 13, 43. Prime factorization of 24037 in exponential form is:
24037 = 131 × 432
Now multiplying the highest exponent prime factors to calculate the LCM of 24022 and 24037.
LCM(24022,24037) = 21 × 120111 × 131 × 432
LCM(24022,24037) = 577416814
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