What is the Least Common Multiple of 35331 and 35346?

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 35331 and 35346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35331 and 35346, than apply into the LCM equation.

GCF(35331,35346) = 3
LCM(35331,35346) = ( 35331 × 35346) / 3
LCM(35331,35346) = 1248809526 / 3
LCM(35331,35346) = 416269842

Least Common Multiple (LCM) of 35331 and 35346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35331 and 35346. First we will calculate the prime factors of 35331 and 35346.

Prime Factorization of 35331

Prime Factorization of 35346

Now multiplying the highest exponent prime factors to calculate the LCM of 35331 and 35346.

LCM(35331,35346) = 3¹ × 11777¹ × 2¹ × 43¹ × 137¹
LCM(35331,35346) = 416269842