What is the Least Common Multiple of 30820 and 30835?

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 30820 and 30835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30820 and 30835, than apply into the LCM equation.

GCF(30820,30835) = 5
LCM(30820,30835) = ( 30820 × 30835) / 5
LCM(30820,30835) = 950334700 / 5
LCM(30820,30835) = 190066940

Least Common Multiple (LCM) of 30820 and 30835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30820 and 30835. First we will calculate the prime factors of 30820 and 30835.

Prime Factorization of 30820

Prime Factorization of 30835

Now multiplying the highest exponent prime factors to calculate the LCM of 30820 and 30835.

LCM(30820,30835) = 2² × 5¹ × 23¹ × 67¹ × 7¹ × 881¹
LCM(30820,30835) = 190066940