What is the Least Common Multiple of 30342 and 30353?

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 30342 and 30353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30342 and 30353, than apply into the LCM equation.

GCF(30342,30353) = 1
LCM(30342,30353) = ( 30342 × 30353) / 1
LCM(30342,30353) = 920970726 / 1
LCM(30342,30353) = 920970726

Least Common Multiple (LCM) of 30342 and 30353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30342 and 30353. First we will calculate the prime factors of 30342 and 30353.

Prime Factorization of 30342

Prime Factorization of 30353

Now multiplying the highest exponent prime factors to calculate the LCM of 30342 and 30353.

LCM(30342,30353) = 2¹ × 3¹ × 13¹ × 389¹ × 127¹ × 239¹
LCM(30342,30353) = 920970726