What is the Least Common Multiple of 32760 and 32770?

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 32760 and 32770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32760 and 32770, than apply into the LCM equation.

GCF(32760,32770) = 10
LCM(32760,32770) = ( 32760 × 32770) / 10
LCM(32760,32770) = 1073545200 / 10
LCM(32760,32770) = 107354520

Least Common Multiple (LCM) of 32760 and 32770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32760 and 32770. First we will calculate the prime factors of 32760 and 32770.

Prime Factorization of 32760

Prime Factorization of 32770

Now multiplying the highest exponent prime factors to calculate the LCM of 32760 and 32770.

LCM(32760,32770) = 2³ × 3² × 5¹ × 7¹ × 13¹ × 29¹ × 113¹
LCM(32760,32770) = 107354520