What is the Least Common Multiple of 24551 and 24557?
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 24557 is 602898907.
LCM(24551,24557) = 602898907
Least Common Multiple of 24551 and 24557 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 24557, than apply into the LCM equation.
GCF(24551,24557) = 1
LCM(24551,24557) = ( 24551 × 24557) / 1
LCM(24551,24557) = 602898907 / 1
LCM(24551,24557) = 602898907
Least Common Multiple (LCM) of 24551 and 24557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24551 and 24557. First we will calculate the prime factors of 24551 and 24557.
Prime Factorization of 24551
Prime factors of 24551 are 24551. Prime factorization of 24551 in exponential form is:
24551 = 245511
Prime Factorization of 24557
Prime factors of 24557 are 13, 1889. Prime factorization of 24557 in exponential form is:
24557 = 131 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 24551 and 24557.
LCM(24551,24557) = 245511 × 131 × 18891
LCM(24551,24557) = 602898907
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