What is the Least Common Multiple of 35372 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 35372 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 35372 and 35392, than apply into the LCM equation.

GCF(35372,35392) = 4
LCM(35372,35392) = ( 35372 × 35392) / 4
LCM(35372,35392) = 1251885824 / 4
LCM(35372,35392) = 312971456

Least Common Multiple (LCM) of 35372 and 35392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35372 and 35392. First we will calculate the prime factors of 35372 and 35392.

Prime Factorization of 35372

Prime Factorization of 35392

Now multiplying the highest exponent prime factors to calculate the LCM of 35372 and 35392.

LCM(35372,35392) = 2⁶ × 37¹ × 239¹ × 7¹ × 79¹
LCM(35372,35392) = 312971456