What is the Least Common Multiple of 35393 and 35411?

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 35393 and 35411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35393 and 35411, than apply into the LCM equation.

GCF(35393,35411) = 1
LCM(35393,35411) = ( 35393 × 35411) / 1
LCM(35393,35411) = 1253301523 / 1
LCM(35393,35411) = 1253301523

Least Common Multiple (LCM) of 35393 and 35411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35393 and 35411. First we will calculate the prime factors of 35393 and 35411.

Prime Factorization of 35393

Prime Factorization of 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 35393 and 35411.

LCM(35393,35411) = 35393¹ × 17¹ × 2083¹
LCM(35393,35411) = 1253301523