What is the Least Common Multiple of 35346 and 35360?

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 35346 and 35360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35346 and 35360, than apply into the LCM equation.

GCF(35346,35360) = 2
LCM(35346,35360) = ( 35346 × 35360) / 2
LCM(35346,35360) = 1249834560 / 2
LCM(35346,35360) = 624917280

Least Common Multiple (LCM) of 35346 and 35360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35346 and 35360. First we will calculate the prime factors of 35346 and 35360.

Prime Factorization of 35346

Prime Factorization of 35360

Now multiplying the highest exponent prime factors to calculate the LCM of 35346 and 35360.

LCM(35346,35360) = 2⁵ × 3¹ × 43¹ × 137¹ × 5¹ × 13¹ × 17¹
LCM(35346,35360) = 624917280