What is the Least Common Multiple of 74819 and 74824?
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 74819 and 74824 is 5598256856.
LCM(74819,74824) = 5598256856
Least Common Multiple of 74819 and 74824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74819 and 74824, than apply into the LCM equation.
GCF(74819,74824) = 1
LCM(74819,74824) = ( 74819 × 74824) / 1
LCM(74819,74824) = 5598256856 / 1
LCM(74819,74824) = 5598256856
Least Common Multiple (LCM) of 74819 and 74824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74819 and 74824. First we will calculate the prime factors of 74819 and 74824.
Prime Factorization of 74819
Prime factors of 74819 are 23, 3253. Prime factorization of 74819 in exponential form is:
74819 = 231 × 32531
Prime Factorization of 74824
Prime factors of 74824 are 2, 47, 199. Prime factorization of 74824 in exponential form is:
74824 = 23 × 471 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 74819 and 74824.
LCM(74819,74824) = 231 × 32531 × 23 × 471 × 1991
LCM(74819,74824) = 5598256856
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