What is the Least Common Multiple of 35340 and 35358?

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 35340 and 35358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35340 and 35358, than apply into the LCM equation.

GCF(35340,35358) = 6
LCM(35340,35358) = ( 35340 × 35358) / 6
LCM(35340,35358) = 1249551720 / 6
LCM(35340,35358) = 208258620

Least Common Multiple (LCM) of 35340 and 35358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35340 and 35358. First we will calculate the prime factors of 35340 and 35358.

Prime Factorization of 35340

Prime Factorization of 35358

Now multiplying the highest exponent prime factors to calculate the LCM of 35340 and 35358.

LCM(35340,35358) = 2² × 3¹ × 5¹ × 19¹ × 31¹ × 71¹ × 83¹
LCM(35340,35358) = 208258620