What is the Least Common Multiple of 35358 and 35367?

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 35358 and 35367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35358 and 35367, than apply into the LCM equation.

GCF(35358,35367) = 3
LCM(35358,35367) = ( 35358 × 35367) / 3
LCM(35358,35367) = 1250506386 / 3
LCM(35358,35367) = 416835462

Least Common Multiple (LCM) of 35358 and 35367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35358 and 35367. First we will calculate the prime factors of 35358 and 35367.

Prime Factorization of 35358

Prime Factorization of 35367

Now multiplying the highest exponent prime factors to calculate the LCM of 35358 and 35367.

LCM(35358,35367) = 2¹ × 3¹ × 71¹ × 83¹ × 11789¹
LCM(35358,35367) = 416835462