What is the Least Common Multiple of 32780 and 32793?

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 32780 and 32793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32780 and 32793, than apply into the LCM equation.

GCF(32780,32793) = 1
LCM(32780,32793) = ( 32780 × 32793) / 1
LCM(32780,32793) = 1074954540 / 1
LCM(32780,32793) = 1074954540

Least Common Multiple (LCM) of 32780 and 32793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32780 and 32793. First we will calculate the prime factors of 32780 and 32793.

Prime Factorization of 32780

Prime Factorization of 32793

Now multiplying the highest exponent prime factors to calculate the LCM of 32780 and 32793.

LCM(32780,32793) = 2² × 5¹ × 11¹ × 149¹ × 3¹ × 17¹ × 643¹
LCM(32780,32793) = 1074954540