What is the Least Common Multiple of 30345 and 30350?

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 30345 and 30350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30345 and 30350, than apply into the LCM equation.

GCF(30345,30350) = 5
LCM(30345,30350) = ( 30345 × 30350) / 5
LCM(30345,30350) = 920970750 / 5
LCM(30345,30350) = 184194150

Least Common Multiple (LCM) of 30345 and 30350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30345 and 30350. First we will calculate the prime factors of 30345 and 30350.

Prime Factorization of 30345

Prime Factorization of 30350

Now multiplying the highest exponent prime factors to calculate the LCM of 30345 and 30350.

LCM(30345,30350) = 3¹ × 5² × 7¹ × 17² × 2¹ × 607¹
LCM(30345,30350) = 184194150