What is the Least Common Multiple of 24758 and 24762?
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 24758 and 24762 is 306528798.
LCM(24758,24762) = 306528798
Least Common Multiple of 24758 and 24762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24758 and 24762, than apply into the LCM equation.
GCF(24758,24762) = 2
LCM(24758,24762) = ( 24758 × 24762) / 2
LCM(24758,24762) = 613057596 / 2
LCM(24758,24762) = 306528798
Least Common Multiple (LCM) of 24758 and 24762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24758 and 24762. First we will calculate the prime factors of 24758 and 24762.
Prime Factorization of 24758
Prime factors of 24758 are 2, 12379. Prime factorization of 24758 in exponential form is:
24758 = 21 × 123791
Prime Factorization of 24762
Prime factors of 24762 are 2, 3, 4127. Prime factorization of 24762 in exponential form is:
24762 = 21 × 31 × 41271
Now multiplying the highest exponent prime factors to calculate the LCM of 24758 and 24762.
LCM(24758,24762) = 21 × 123791 × 31 × 41271
LCM(24758,24762) = 306528798
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