What is the Least Common Multiple of 79380 and 79398?

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 79380 and 79398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79380 and 79398, than apply into the LCM equation.

GCF(79380,79398) = 18
LCM(79380,79398) = ( 79380 × 79398) / 18
LCM(79380,79398) = 6302613240 / 18
LCM(79380,79398) = 350145180

Least Common Multiple (LCM) of 79380 and 79398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79380 and 79398. First we will calculate the prime factors of 79380 and 79398.

Prime Factorization of 79380

Prime Factorization of 79398

Now multiplying the highest exponent prime factors to calculate the LCM of 79380 and 79398.

LCM(79380,79398) = 2² × 3⁴ × 5¹ × 7² × 11¹ × 401¹
LCM(79380,79398) = 350145180