What is the Least Common Multiple of 30674 and 30680?

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 30674 and 30680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30674 and 30680, than apply into the LCM equation.

GCF(30674,30680) = 2
LCM(30674,30680) = ( 30674 × 30680) / 2
LCM(30674,30680) = 941078320 / 2
LCM(30674,30680) = 470539160

Least Common Multiple (LCM) of 30674 and 30680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30674 and 30680. First we will calculate the prime factors of 30674 and 30680.

Prime Factorization of 30674

Prime Factorization of 30680

Now multiplying the highest exponent prime factors to calculate the LCM of 30674 and 30680.

LCM(30674,30680) = 2³ × 7² × 313¹ × 5¹ × 13¹ × 59¹
LCM(30674,30680) = 470539160