What is the Least Common Multiple of 52810 and 52830?
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 52810 and 52830 is 278995230.
LCM(52810,52830) = 278995230
Least Common Multiple of 52810 and 52830 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52810 and 52830, than apply into the LCM equation.
GCF(52810,52830) = 10
LCM(52810,52830) = ( 52810 × 52830) / 10
LCM(52810,52830) = 2789952300 / 10
LCM(52810,52830) = 278995230
Least Common Multiple (LCM) of 52810 and 52830 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52810 and 52830. First we will calculate the prime factors of 52810 and 52830.
Prime Factorization of 52810
Prime factors of 52810 are 2, 5, 5281. Prime factorization of 52810 in exponential form is:
52810 = 21 × 51 × 52811
Prime Factorization of 52830
Prime factors of 52830 are 2, 3, 5, 587. Prime factorization of 52830 in exponential form is:
52830 = 21 × 32 × 51 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 52810 and 52830.
LCM(52810,52830) = 21 × 51 × 52811 × 32 × 5871
LCM(52810,52830) = 278995230
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