What is the Least Common Multiple of 38140 and 38145?

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 38140 and 38145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38140 and 38145, than apply into the LCM equation.

GCF(38140,38145) = 5
LCM(38140,38145) = ( 38140 × 38145) / 5
LCM(38140,38145) = 1454850300 / 5
LCM(38140,38145) = 290970060

Least Common Multiple (LCM) of 38140 and 38145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38140 and 38145. First we will calculate the prime factors of 38140 and 38145.

Prime Factorization of 38140

Prime Factorization of 38145

Now multiplying the highest exponent prime factors to calculate the LCM of 38140 and 38145.

LCM(38140,38145) = 2² × 5¹ × 1907¹ × 3¹ × 2543¹
LCM(38140,38145) = 290970060