What is the Least Common Multiple of 35403 and 35409?

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 35403 and 35409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35403 and 35409, than apply into the LCM equation.

GCF(35403,35409) = 3
LCM(35403,35409) = ( 35403 × 35409) / 3
LCM(35403,35409) = 1253584827 / 3
LCM(35403,35409) = 417861609

Least Common Multiple (LCM) of 35403 and 35409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35403 and 35409. First we will calculate the prime factors of 35403 and 35409.

Prime Factorization of 35403

Prime Factorization of 35409

Now multiplying the highest exponent prime factors to calculate the LCM of 35403 and 35409.

LCM(35403,35409) = 3¹ × 11801¹ × 11¹ × 29¹ × 37¹
LCM(35403,35409) = 417861609