What is the Least Common Multiple of 24245 and 24251?
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 24245 and 24251 is 587965495.
LCM(24245,24251) = 587965495
Least Common Multiple of 24245 and 24251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24245 and 24251, than apply into the LCM equation.
GCF(24245,24251) = 1
LCM(24245,24251) = ( 24245 × 24251) / 1
LCM(24245,24251) = 587965495 / 1
LCM(24245,24251) = 587965495
Least Common Multiple (LCM) of 24245 and 24251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24245 and 24251. First we will calculate the prime factors of 24245 and 24251.
Prime Factorization of 24245
Prime factors of 24245 are 5, 13, 373. Prime factorization of 24245 in exponential form is:
24245 = 51 × 131 × 3731
Prime Factorization of 24251
Prime factors of 24251 are 24251. Prime factorization of 24251 in exponential form is:
24251 = 242511
Now multiplying the highest exponent prime factors to calculate the LCM of 24245 and 24251.
LCM(24245,24251) = 51 × 131 × 3731 × 242511
LCM(24245,24251) = 587965495
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