What is the Least Common Multiple of 88818 and 88822?
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 88818 and 88822 is 3944496198.
LCM(88818,88822) = 3944496198
Least Common Multiple of 88818 and 88822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88818 and 88822, than apply into the LCM equation.
GCF(88818,88822) = 2
LCM(88818,88822) = ( 88818 × 88822) / 2
LCM(88818,88822) = 7888992396 / 2
LCM(88818,88822) = 3944496198
Least Common Multiple (LCM) of 88818 and 88822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88818 and 88822. First we will calculate the prime factors of 88818 and 88822.
Prime Factorization of 88818
Prime factors of 88818 are 2, 3, 113, 131. Prime factorization of 88818 in exponential form is:
88818 = 21 × 31 × 1131 × 1311
Prime Factorization of 88822
Prime factors of 88822 are 2, 89, 499. Prime factorization of 88822 in exponential form is:
88822 = 21 × 891 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 88818 and 88822.
LCM(88818,88822) = 21 × 31 × 1131 × 1311 × 891 × 4991
LCM(88818,88822) = 3944496198
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