What is the Least Common Multiple of 24047 and 24063?
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 24047 and 24063 is 578642961.
LCM(24047,24063) = 578642961
Least Common Multiple of 24047 and 24063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24047 and 24063, than apply into the LCM equation.
GCF(24047,24063) = 1
LCM(24047,24063) = ( 24047 × 24063) / 1
LCM(24047,24063) = 578642961 / 1
LCM(24047,24063) = 578642961
Least Common Multiple (LCM) of 24047 and 24063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24047 and 24063. First we will calculate the prime factors of 24047 and 24063.
Prime Factorization of 24047
Prime factors of 24047 are 139, 173. Prime factorization of 24047 in exponential form is:
24047 = 1391 × 1731
Prime Factorization of 24063
Prime factors of 24063 are 3, 13, 617. Prime factorization of 24063 in exponential form is:
24063 = 31 × 131 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 24047 and 24063.
LCM(24047,24063) = 1391 × 1731 × 31 × 131 × 6171
LCM(24047,24063) = 578642961
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