What is the Least Common Multiple of 35346 and 35354?

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 35354 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 35354, than apply into the LCM equation.

GCF(35346,35354) = 2
LCM(35346,35354) = ( 35346 × 35354) / 2
LCM(35346,35354) = 1249622484 / 2
LCM(35346,35354) = 624811242

Least Common Multiple (LCM) of 35346 and 35354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35346 and 35354. First we will calculate the prime factors of 35346 and 35354.

Prime Factorization of 35346

Prime Factorization of 35354

Now multiplying the highest exponent prime factors to calculate the LCM of 35346 and 35354.

LCM(35346,35354) = 2¹ × 3¹ × 43¹ × 137¹ × 11¹ × 1607¹
LCM(35346,35354) = 624811242