What is the Least Common Multiple of 52818 and 52822?
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 52818 and 52822 is 1394976198.
LCM(52818,52822) = 1394976198
Least Common Multiple of 52818 and 52822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52818 and 52822, than apply into the LCM equation.
GCF(52818,52822) = 2
LCM(52818,52822) = ( 52818 × 52822) / 2
LCM(52818,52822) = 2789952396 / 2
LCM(52818,52822) = 1394976198
Least Common Multiple (LCM) of 52818 and 52822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52818 and 52822. First we will calculate the prime factors of 52818 and 52822.
Prime Factorization of 52818
Prime factors of 52818 are 2, 3, 8803. Prime factorization of 52818 in exponential form is:
52818 = 21 × 31 × 88031
Prime Factorization of 52822
Prime factors of 52822 are 2, 7, 11. Prime factorization of 52822 in exponential form is:
52822 = 21 × 74 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 52818 and 52822.
LCM(52818,52822) = 21 × 31 × 88031 × 74 × 111
LCM(52818,52822) = 1394976198
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