What is the Least Common Multiple of 38380 and 38389?

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 38380 and 38389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38380 and 38389, than apply into the LCM equation.

GCF(38380,38389) = 1
LCM(38380,38389) = ( 38380 × 38389) / 1
LCM(38380,38389) = 1473369820 / 1
LCM(38380,38389) = 1473369820

Least Common Multiple (LCM) of 38380 and 38389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38380 and 38389. First we will calculate the prime factors of 38380 and 38389.

Prime Factorization of 38380

Prime Factorization of 38389

Now multiplying the highest exponent prime factors to calculate the LCM of 38380 and 38389.

LCM(38380,38389) = 2² × 5¹ × 19¹ × 101¹ × 13¹ × 2953¹
LCM(38380,38389) = 1473369820