What is the Least Common Multiple of 30342 and 30355?

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 30355 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 30355, than apply into the LCM equation.

GCF(30342,30355) = 13
LCM(30342,30355) = ( 30342 × 30355) / 13
LCM(30342,30355) = 921031410 / 13
LCM(30342,30355) = 70848570

Least Common Multiple (LCM) of 30342 and 30355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30342 and 30355. First we will calculate the prime factors of 30342 and 30355.

Prime Factorization of 30342

Prime Factorization of 30355

Now multiplying the highest exponent prime factors to calculate the LCM of 30342 and 30355.

LCM(30342,30355) = 2¹ × 3¹ × 13¹ × 389¹ × 5¹ × 467¹
LCM(30342,30355) = 70848570