What is the Least Common Multiple of 24777 and 24781?
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 24777 and 24781 is 613998837.
LCM(24777,24781) = 613998837
Least Common Multiple of 24777 and 24781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24777 and 24781, than apply into the LCM equation.
GCF(24777,24781) = 1
LCM(24777,24781) = ( 24777 × 24781) / 1
LCM(24777,24781) = 613998837 / 1
LCM(24777,24781) = 613998837
Least Common Multiple (LCM) of 24777 and 24781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24777 and 24781. First we will calculate the prime factors of 24777 and 24781.
Prime Factorization of 24777
Prime factors of 24777 are 3, 2753. Prime factorization of 24777 in exponential form is:
24777 = 32 × 27531
Prime Factorization of 24781
Prime factors of 24781 are 24781. Prime factorization of 24781 in exponential form is:
24781 = 247811
Now multiplying the highest exponent prime factors to calculate the LCM of 24777 and 24781.
LCM(24777,24781) = 32 × 27531 × 247811
LCM(24777,24781) = 613998837
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