What is the Least Common Multiple of 32940 and 32950?

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 32940 and 32950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32940 and 32950, than apply into the LCM equation.

GCF(32940,32950) = 10
LCM(32940,32950) = ( 32940 × 32950) / 10
LCM(32940,32950) = 1085373000 / 10
LCM(32940,32950) = 108537300

Least Common Multiple (LCM) of 32940 and 32950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32940 and 32950. First we will calculate the prime factors of 32940 and 32950.

Prime Factorization of 32940

Prime Factorization of 32950

Now multiplying the highest exponent prime factors to calculate the LCM of 32940 and 32950.

LCM(32940,32950) = 2² × 3³ × 5² × 61¹ × 659¹
LCM(32940,32950) = 108537300