What is the Least Common Multiple of 88380 and 88398?

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 88380 and 88398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88380 and 88398, than apply into the LCM equation.

GCF(88380,88398) = 18
LCM(88380,88398) = ( 88380 × 88398) / 18
LCM(88380,88398) = 7812615240 / 18
LCM(88380,88398) = 434034180

Least Common Multiple (LCM) of 88380 and 88398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88380 and 88398. First we will calculate the prime factors of 88380 and 88398.

Prime Factorization of 88380

Prime Factorization of 88398

Now multiplying the highest exponent prime factors to calculate the LCM of 88380 and 88398.

LCM(88380,88398) = 2² × 3³ × 5¹ × 491¹ × 1637¹
LCM(88380,88398) = 434034180