What is the Least Common Multiple of 68832 and 68847?

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 68832 and 68847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68832 and 68847, than apply into the LCM equation.

GCF(68832,68847) = 3
LCM(68832,68847) = ( 68832 × 68847) / 3
LCM(68832,68847) = 4738876704 / 3
LCM(68832,68847) = 1579625568

Least Common Multiple (LCM) of 68832 and 68847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68832 and 68847. First we will calculate the prime factors of 68832 and 68847.

Prime Factorization of 68832

Prime Factorization of 68847

Now multiplying the highest exponent prime factors to calculate the LCM of 68832 and 68847.

LCM(68832,68847) = 2⁵ × 3² × 239¹ × 53¹ × 433¹
LCM(68832,68847) = 1579625568