What is the Least Common Multiple of 35374 and 35384?

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 35374 and 35384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35374 and 35384, than apply into the LCM equation.

GCF(35374,35384) = 2
LCM(35374,35384) = ( 35374 × 35384) / 2
LCM(35374,35384) = 1251673616 / 2
LCM(35374,35384) = 625836808

Least Common Multiple (LCM) of 35374 and 35384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35374 and 35384. First we will calculate the prime factors of 35374 and 35384.

Prime Factorization of 35374

Prime Factorization of 35384

Now multiplying the highest exponent prime factors to calculate the LCM of 35374 and 35384.

LCM(35374,35384) = 2³ × 23¹ × 769¹ × 4423¹
LCM(35374,35384) = 625836808