What is the Least Common Multiple of 30728 and 30733?

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 30728 and 30733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30728 and 30733, than apply into the LCM equation.

GCF(30728,30733) = 1
LCM(30728,30733) = ( 30728 × 30733) / 1
LCM(30728,30733) = 944363624 / 1
LCM(30728,30733) = 944363624

Least Common Multiple (LCM) of 30728 and 30733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30728 and 30733. First we will calculate the prime factors of 30728 and 30733.

Prime Factorization of 30728

Prime Factorization of 30733

Now multiplying the highest exponent prime factors to calculate the LCM of 30728 and 30733.

LCM(30728,30733) = 2³ × 23¹ × 167¹ × 73¹ × 421¹
LCM(30728,30733) = 944363624