What is the Least Common Multiple of 32740 and 32752?

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 32740 and 32752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32740 and 32752, than apply into the LCM equation.

GCF(32740,32752) = 4
LCM(32740,32752) = ( 32740 × 32752) / 4
LCM(32740,32752) = 1072300480 / 4
LCM(32740,32752) = 268075120

Least Common Multiple (LCM) of 32740 and 32752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32740 and 32752. First we will calculate the prime factors of 32740 and 32752.

Prime Factorization of 32740

Prime Factorization of 32752

Now multiplying the highest exponent prime factors to calculate the LCM of 32740 and 32752.

LCM(32740,32752) = 2⁴ × 5¹ × 1637¹ × 23¹ × 89¹
LCM(32740,32752) = 268075120