What is the Least Common Multiple of 89319 and 89338?

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 89319 and 89338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89319 and 89338, than apply into the LCM equation.

GCF(89319,89338) = 19
LCM(89319,89338) = ( 89319 × 89338) / 19
LCM(89319,89338) = 7979580822 / 19
LCM(89319,89338) = 419977938

Least Common Multiple (LCM) of 89319 and 89338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89319 and 89338. First we will calculate the prime factors of 89319 and 89338.

Prime Factorization of 89319

Prime Factorization of 89338

Now multiplying the highest exponent prime factors to calculate the LCM of 89319 and 89338.

LCM(89319,89338) = 3¹ × 19¹ × 1567¹ × 2¹ × 2351¹
LCM(89319,89338) = 419977938