What is the Least Common Multiple of 34830 and 34836?

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 34830 and 34836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34830 and 34836, than apply into the LCM equation.

GCF(34830,34836) = 6
LCM(34830,34836) = ( 34830 × 34836) / 6
LCM(34830,34836) = 1213337880 / 6
LCM(34830,34836) = 202222980

Least Common Multiple (LCM) of 34830 and 34836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34830 and 34836. First we will calculate the prime factors of 34830 and 34836.

Prime Factorization of 34830

Prime Factorization of 34836

Now multiplying the highest exponent prime factors to calculate the LCM of 34830 and 34836.

LCM(34830,34836) = 2² × 3⁴ × 5¹ × 43¹ × 2903¹
LCM(34830,34836) = 202222980