What is the Least Common Multiple of 34377 and 34381?

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 34377 and 34381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34377 and 34381, than apply into the LCM equation.

GCF(34377,34381) = 1
LCM(34377,34381) = ( 34377 × 34381) / 1
LCM(34377,34381) = 1181915637 / 1
LCM(34377,34381) = 1181915637

Least Common Multiple (LCM) of 34377 and 34381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34377 and 34381. First we will calculate the prime factors of 34377 and 34381.

Prime Factorization of 34377

Prime Factorization of 34381

Now multiplying the highest exponent prime factors to calculate the LCM of 34377 and 34381.

LCM(34377,34381) = 3¹ × 7¹ × 1637¹ × 34381¹
LCM(34377,34381) = 1181915637