What is the Least Common Multiple of 24551 and 24556?
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 24556 is 602874356.
LCM(24551,24556) = 602874356
Least Common Multiple of 24551 and 24556 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 24556, than apply into the LCM equation.
GCF(24551,24556) = 1
LCM(24551,24556) = ( 24551 × 24556) / 1
LCM(24551,24556) = 602874356 / 1
LCM(24551,24556) = 602874356
Least Common Multiple (LCM) of 24551 and 24556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24551 and 24556. First we will calculate the prime factors of 24551 and 24556.
Prime Factorization of 24551
Prime factors of 24551 are 24551. Prime factorization of 24551 in exponential form is:
24551 = 245511
Prime Factorization of 24556
Prime factors of 24556 are 2, 7, 877. Prime factorization of 24556 in exponential form is:
24556 = 22 × 71 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 24551 and 24556.
LCM(24551,24556) = 245511 × 22 × 71 × 8771
LCM(24551,24556) = 602874356
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