What is the Least Common Multiple of 35420 and 35434?

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 35420 and 35434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35420 and 35434, than apply into the LCM equation.

GCF(35420,35434) = 14
LCM(35420,35434) = ( 35420 × 35434) / 14
LCM(35420,35434) = 1255072280 / 14
LCM(35420,35434) = 89648020

Least Common Multiple (LCM) of 35420 and 35434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35420 and 35434. First we will calculate the prime factors of 35420 and 35434.

Prime Factorization of 35420

Prime Factorization of 35434

Now multiplying the highest exponent prime factors to calculate the LCM of 35420 and 35434.

LCM(35420,35434) = 2² × 5¹ × 7¹ × 11¹ × 23¹ × 2531¹
LCM(35420,35434) = 89648020