What is the Least Common Multiple of 35748 and 35768?

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 35748 and 35768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35748 and 35768, than apply into the LCM equation.

GCF(35748,35768) = 4
LCM(35748,35768) = ( 35748 × 35768) / 4
LCM(35748,35768) = 1278634464 / 4
LCM(35748,35768) = 319658616

Least Common Multiple (LCM) of 35748 and 35768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35748 and 35768. First we will calculate the prime factors of 35748 and 35768.

Prime Factorization of 35748

Prime Factorization of 35768

Now multiplying the highest exponent prime factors to calculate the LCM of 35748 and 35768.

LCM(35748,35768) = 2³ × 3³ × 331¹ × 17¹ × 263¹
LCM(35748,35768) = 319658616