What is the Least Common Multiple of 55818 and 55822?
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 55818 and 55822 is 1557936198.
LCM(55818,55822) = 1557936198
Least Common Multiple of 55818 and 55822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55818 and 55822, than apply into the LCM equation.
GCF(55818,55822) = 2
LCM(55818,55822) = ( 55818 × 55822) / 2
LCM(55818,55822) = 3115872396 / 2
LCM(55818,55822) = 1557936198
Least Common Multiple (LCM) of 55818 and 55822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55818 and 55822. First we will calculate the prime factors of 55818 and 55822.
Prime Factorization of 55818
Prime factors of 55818 are 2, 3, 7, 443. Prime factorization of 55818 in exponential form is:
55818 = 21 × 32 × 71 × 4431
Prime Factorization of 55822
Prime factors of 55822 are 2, 13, 19, 113. Prime factorization of 55822 in exponential form is:
55822 = 21 × 131 × 191 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 55818 and 55822.
LCM(55818,55822) = 21 × 32 × 71 × 4431 × 131 × 191 × 1131
LCM(55818,55822) = 1557936198
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