What is the Least Common Multiple of 24551 and 24571?
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 24551 and 24571 is 603242621.
LCM(24551,24571) = 603242621
Least Common Multiple of 24551 and 24571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24551 and 24571, than apply into the LCM equation.
GCF(24551,24571) = 1
LCM(24551,24571) = ( 24551 × 24571) / 1
LCM(24551,24571) = 603242621 / 1
LCM(24551,24571) = 603242621
Least Common Multiple (LCM) of 24551 and 24571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24551 and 24571. First we will calculate the prime factors of 24551 and 24571.
Prime Factorization of 24551
Prime factors of 24551 are 24551. Prime factorization of 24551 in exponential form is:
24551 = 245511
Prime Factorization of 24571
Prime factors of 24571 are 24571. Prime factorization of 24571 in exponential form is:
24571 = 245711
Now multiplying the highest exponent prime factors to calculate the LCM of 24551 and 24571.
LCM(24551,24571) = 245511 × 245711
LCM(24551,24571) = 603242621
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