What is the Least Common Multiple of 24416 and 24430?
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 24416 and 24430 is 42605920.
LCM(24416,24430) = 42605920
Least Common Multiple of 24416 and 24430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24416 and 24430, than apply into the LCM equation.
GCF(24416,24430) = 14
LCM(24416,24430) = ( 24416 × 24430) / 14
LCM(24416,24430) = 596482880 / 14
LCM(24416,24430) = 42605920
Least Common Multiple (LCM) of 24416 and 24430 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24416 and 24430. First we will calculate the prime factors of 24416 and 24430.
Prime Factorization of 24416
Prime factors of 24416 are 2, 7, 109. Prime factorization of 24416 in exponential form is:
24416 = 25 × 71 × 1091
Prime Factorization of 24430
Prime factors of 24430 are 2, 5, 7, 349. Prime factorization of 24430 in exponential form is:
24430 = 21 × 51 × 71 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 24416 and 24430.
LCM(24416,24430) = 25 × 71 × 1091 × 51 × 3491
LCM(24416,24430) = 42605920
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