What is the Least Common Multiple of 24786 and 24803?
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 24786 and 24803 is 36162774.
LCM(24786,24803) = 36162774
Least Common Multiple of 24786 and 24803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24786 and 24803, than apply into the LCM equation.
GCF(24786,24803) = 17
LCM(24786,24803) = ( 24786 × 24803) / 17
LCM(24786,24803) = 614767158 / 17
LCM(24786,24803) = 36162774
Least Common Multiple (LCM) of 24786 and 24803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24786 and 24803. First we will calculate the prime factors of 24786 and 24803.
Prime Factorization of 24786
Prime factors of 24786 are 2, 3, 17. Prime factorization of 24786 in exponential form is:
24786 = 21 × 36 × 171
Prime Factorization of 24803
Prime factors of 24803 are 17, 1459. Prime factorization of 24803 in exponential form is:
24803 = 171 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 24786 and 24803.
LCM(24786,24803) = 21 × 36 × 171 × 14591
LCM(24786,24803) = 36162774
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