What is the Least Common Multiple of 32820 and 32835?

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 32820 and 32835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32820 and 32835, than apply into the LCM equation.

GCF(32820,32835) = 15
LCM(32820,32835) = ( 32820 × 32835) / 15
LCM(32820,32835) = 1077644700 / 15
LCM(32820,32835) = 71842980

Least Common Multiple (LCM) of 32820 and 32835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32820 and 32835. First we will calculate the prime factors of 32820 and 32835.

Prime Factorization of 32820

Prime Factorization of 32835

Now multiplying the highest exponent prime factors to calculate the LCM of 32820 and 32835.

LCM(32820,32835) = 2² × 3¹ × 5¹ × 547¹ × 11¹ × 199¹
LCM(32820,32835) = 71842980