What is the Least Common Multiple of 35380 and 35398?

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 35380 and 35398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35380 and 35398, than apply into the LCM equation.

GCF(35380,35398) = 2
LCM(35380,35398) = ( 35380 × 35398) / 2
LCM(35380,35398) = 1252381240 / 2
LCM(35380,35398) = 626190620

Least Common Multiple (LCM) of 35380 and 35398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35380 and 35398. First we will calculate the prime factors of 35380 and 35398.

Prime Factorization of 35380

Prime Factorization of 35398

Now multiplying the highest exponent prime factors to calculate the LCM of 35380 and 35398.

LCM(35380,35398) = 2² × 5¹ × 29¹ × 61¹ × 11¹ × 1609¹
LCM(35380,35398) = 626190620