What is the Least Common Multiple of 82900 and 82914?

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 of 82900 and 82914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82900 and 82914, than apply into the LCM equation.

GCF(82900,82914) = 2
LCM(82900,82914) = ( 82900 × 82914) / 2
LCM(82900,82914) = 6873570600 / 2
LCM(82900,82914) = 3436785300

Least Common Multiple (LCM) of 82900 and 82914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82900 and 82914. First we will calculate the prime factors of 82900 and 82914.

Prime Factorization of 82900

Prime Factorization of 82914

Now multiplying the highest exponent prime factors to calculate the LCM of 82900 and 82914.

LCM(82900,82914) = 2² × 5² × 829¹ × 3¹ × 13¹ × 1063¹
LCM(82900,82914) = 3436785300