What is the Least Common Multiple of 32734 and 32740?

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 32734 and 32740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32734 and 32740, than apply into the LCM equation.

GCF(32734,32740) = 2
LCM(32734,32740) = ( 32734 × 32740) / 2
LCM(32734,32740) = 1071711160 / 2
LCM(32734,32740) = 535855580

Least Common Multiple (LCM) of 32734 and 32740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32734 and 32740. First we will calculate the prime factors of 32734 and 32740.

Prime Factorization of 32734

Prime Factorization of 32740

Now multiplying the highest exponent prime factors to calculate the LCM of 32734 and 32740.

LCM(32734,32740) = 2² × 13¹ × 1259¹ × 5¹ × 1637¹
LCM(32734,32740) = 535855580