What is the Least Common Multiple of 35381 and 35387?

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 35381 and 35387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35381 and 35387, than apply into the LCM equation.

GCF(35381,35387) = 1
LCM(35381,35387) = ( 35381 × 35387) / 1
LCM(35381,35387) = 1252027447 / 1
LCM(35381,35387) = 1252027447

Least Common Multiple (LCM) of 35381 and 35387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35381 and 35387. First we will calculate the prime factors of 35381 and 35387.

Prime Factorization of 35381

Prime Factorization of 35387

Now multiplying the highest exponent prime factors to calculate the LCM of 35381 and 35387.

LCM(35381,35387) = 35381¹ × 11¹ × 3217¹
LCM(35381,35387) = 1252027447