What is the Least Common Multiple of 72805 and 72824?

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 72805 and 72824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72805 and 72824, than apply into the LCM equation.

GCF(72805,72824) = 1
LCM(72805,72824) = ( 72805 × 72824) / 1
LCM(72805,72824) = 5301951320 / 1
LCM(72805,72824) = 5301951320

Least Common Multiple (LCM) of 72805 and 72824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72805 and 72824. First we will calculate the prime factors of 72805 and 72824.

Prime Factorization of 72805

Prime Factorization of 72824

Now multiplying the highest exponent prime factors to calculate the LCM of 72805 and 72824.

LCM(72805,72824) = 5¹ × 14561¹ × 2³ × 9103¹
LCM(72805,72824) = 5301951320