What is the Least Common Multiple of 33830 and 33845?

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 33830 and 33845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33830 and 33845, than apply into the LCM equation.

GCF(33830,33845) = 5
LCM(33830,33845) = ( 33830 × 33845) / 5
LCM(33830,33845) = 1144976350 / 5
LCM(33830,33845) = 228995270

Least Common Multiple (LCM) of 33830 and 33845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33830 and 33845. First we will calculate the prime factors of 33830 and 33845.

Prime Factorization of 33830

Prime Factorization of 33845

Now multiplying the highest exponent prime factors to calculate the LCM of 33830 and 33845.

LCM(33830,33845) = 2¹ × 5¹ × 17¹ × 199¹ × 7¹ × 967¹
LCM(33830,33845) = 228995270