What is the Least Common Multiple of 66816 and 66835?

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 66816 and 66835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66816 and 66835, than apply into the LCM equation.

GCF(66816,66835) = 1
LCM(66816,66835) = ( 66816 × 66835) / 1
LCM(66816,66835) = 4465647360 / 1
LCM(66816,66835) = 4465647360

Least Common Multiple (LCM) of 66816 and 66835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66816 and 66835. First we will calculate the prime factors of 66816 and 66835.

Prime Factorization of 66816

Prime Factorization of 66835

Now multiplying the highest exponent prime factors to calculate the LCM of 66816 and 66835.

LCM(66816,66835) = 2⁸ × 3² × 29¹ × 5¹ × 13367¹
LCM(66816,66835) = 4465647360