What is the Least Common Multiple of 82144 and 82151?

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 82144 and 82151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82144 and 82151, than apply into the LCM equation.

GCF(82144,82151) = 1
LCM(82144,82151) = ( 82144 × 82151) / 1
LCM(82144,82151) = 6748211744 / 1
LCM(82144,82151) = 6748211744

Least Common Multiple (LCM) of 82144 and 82151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82144 and 82151. First we will calculate the prime factors of 82144 and 82151.

Prime Factorization of 82144

Prime Factorization of 82151

Now multiplying the highest exponent prime factors to calculate the LCM of 82144 and 82151.

LCM(82144,82151) = 2⁵ × 17¹ × 151¹ × 113¹ × 727¹
LCM(82144,82151) = 6748211744