What is the Least Common Multiple of 34812 and 34830?

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 34812 and 34830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34812 and 34830, than apply into the LCM equation.

GCF(34812,34830) = 18
LCM(34812,34830) = ( 34812 × 34830) / 18
LCM(34812,34830) = 1212501960 / 18
LCM(34812,34830) = 67361220

Least Common Multiple (LCM) of 34812 and 34830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34812 and 34830. First we will calculate the prime factors of 34812 and 34830.

Prime Factorization of 34812

Prime Factorization of 34830

Now multiplying the highest exponent prime factors to calculate the LCM of 34812 and 34830.

LCM(34812,34830) = 2² × 3⁴ × 967¹ × 5¹ × 43¹
LCM(34812,34830) = 67361220