What is the Least Common Multiple of 38380 and 38387?

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 38387 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 38387, than apply into the LCM equation.

GCF(38380,38387) = 1
LCM(38380,38387) = ( 38380 × 38387) / 1
LCM(38380,38387) = 1473293060 / 1
LCM(38380,38387) = 1473293060

Least Common Multiple (LCM) of 38380 and 38387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38380 and 38387. First we will calculate the prime factors of 38380 and 38387.

Prime Factorization of 38380

Prime Factorization of 38387

Now multiplying the highest exponent prime factors to calculate the LCM of 38380 and 38387.

LCM(38380,38387) = 2² × 5¹ × 19¹ × 101¹ × 23¹ × 1669¹
LCM(38380,38387) = 1473293060