What is the Least Common Multiple of 35328 and 35337?

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 35328 and 35337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35328 and 35337, than apply into the LCM equation.

GCF(35328,35337) = 3
LCM(35328,35337) = ( 35328 × 35337) / 3
LCM(35328,35337) = 1248385536 / 3
LCM(35328,35337) = 416128512

Least Common Multiple (LCM) of 35328 and 35337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35328 and 35337. First we will calculate the prime factors of 35328 and 35337.

Prime Factorization of 35328

Prime Factorization of 35337

Now multiplying the highest exponent prime factors to calculate the LCM of 35328 and 35337.

LCM(35328,35337) = 2⁹ × 3¹ × 23¹ × 11779¹
LCM(35328,35337) = 416128512