What is the Least Common Multiple of 30756 and 30770?

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 30756 and 30770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30756 and 30770, than apply into the LCM equation.

GCF(30756,30770) = 2
LCM(30756,30770) = ( 30756 × 30770) / 2
LCM(30756,30770) = 946362120 / 2
LCM(30756,30770) = 473181060

Least Common Multiple (LCM) of 30756 and 30770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30756 and 30770. First we will calculate the prime factors of 30756 and 30770.

Prime Factorization of 30756

Prime Factorization of 30770

Now multiplying the highest exponent prime factors to calculate the LCM of 30756 and 30770.

LCM(30756,30770) = 2² × 3¹ × 11¹ × 233¹ × 5¹ × 17¹ × 181¹
LCM(30756,30770) = 473181060