What is the Least Common Multiple of 35378 and 35392?

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 35378 and 35392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35378 and 35392, than apply into the LCM equation.

GCF(35378,35392) = 14
LCM(35378,35392) = ( 35378 × 35392) / 14
LCM(35378,35392) = 1252098176 / 14
LCM(35378,35392) = 89435584

Least Common Multiple (LCM) of 35378 and 35392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35378 and 35392. First we will calculate the prime factors of 35378 and 35392.

Prime Factorization of 35378

Prime Factorization of 35392

Now multiplying the highest exponent prime factors to calculate the LCM of 35378 and 35392.

LCM(35378,35392) = 2⁶ × 7² × 19² × 79¹
LCM(35378,35392) = 89435584