GCF and LCM Calculator Logo

What is the Least Common Multiple of 30806 and 30822?

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 (LCM) of 30806 and 30822 is 474751266.

LCM(30806,30822) = 474751266

LCM Calculator and
and

Least Common Multiple of 30806 and 30822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30806 and 30822, than apply into the LCM equation.

GCF(30806,30822) = 2
LCM(30806,30822) = ( 30806 × 30822) / 2
LCM(30806,30822) = 949502532 / 2
LCM(30806,30822) = 474751266

Least Common Multiple (LCM) of 30806 and 30822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30806 and 30822. First we will calculate the prime factors of 30806 and 30822.

Prime Factorization of 30806

Prime factors of 30806 are 2, 73, 211. Prime factorization of 30806 in exponential form is:

30806 = 21 × 731 × 2111

Prime Factorization of 30822

Prime factors of 30822 are 2, 3, 11, 467. Prime factorization of 30822 in exponential form is:

30822 = 21 × 31 × 111 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 30806 and 30822.

LCM(30806,30822) = 21 × 731 × 2111 × 31 × 111 × 4671
LCM(30806,30822) = 474751266