What is the Least Common Multiple of 35379 and 35393?

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 35379 and 35393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35379 and 35393, than apply into the LCM equation.

GCF(35379,35393) = 1
LCM(35379,35393) = ( 35379 × 35393) / 1
LCM(35379,35393) = 1252168947 / 1
LCM(35379,35393) = 1252168947

Least Common Multiple (LCM) of 35379 and 35393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35379 and 35393. First we will calculate the prime factors of 35379 and 35393.

Prime Factorization of 35379

Prime Factorization of 35393

Now multiplying the highest exponent prime factors to calculate the LCM of 35379 and 35393.

LCM(35379,35393) = 3² × 3931¹ × 35393¹
LCM(35379,35393) = 1252168947