What is the Least Common Multiple of 34381 and 34387?

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 34381 and 34387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34381 and 34387, than apply into the LCM equation.

GCF(34381,34387) = 1
LCM(34381,34387) = ( 34381 × 34387) / 1
LCM(34381,34387) = 1182259447 / 1
LCM(34381,34387) = 1182259447

Least Common Multiple (LCM) of 34381 and 34387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34381 and 34387. First we will calculate the prime factors of 34381 and 34387.

Prime Factorization of 34381

Prime Factorization of 34387

Now multiplying the highest exponent prime factors to calculate the LCM of 34381 and 34387.

LCM(34381,34387) = 34381¹ × 137¹ × 251¹
LCM(34381,34387) = 1182259447