What is the Least Common Multiple of 38280 and 38293?

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 38280 and 38293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38280 and 38293, than apply into the LCM equation.

GCF(38280,38293) = 1
LCM(38280,38293) = ( 38280 × 38293) / 1
LCM(38280,38293) = 1465856040 / 1
LCM(38280,38293) = 1465856040

Least Common Multiple (LCM) of 38280 and 38293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38280 and 38293. First we will calculate the prime factors of 38280 and 38293.

Prime Factorization of 38280

Prime Factorization of 38293

Now multiplying the highest exponent prime factors to calculate the LCM of 38280 and 38293.

LCM(38280,38293) = 2³ × 3¹ × 5¹ × 11¹ × 29¹ × 149¹ × 257¹
LCM(38280,38293) = 1465856040