What is the Least Common Multiple of 89920 and 89930?

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 89920 and 89930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89920 and 89930, than apply into the LCM equation.

GCF(89920,89930) = 10
LCM(89920,89930) = ( 89920 × 89930) / 10
LCM(89920,89930) = 8086505600 / 10
LCM(89920,89930) = 808650560

Least Common Multiple (LCM) of 89920 and 89930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89920 and 89930. First we will calculate the prime factors of 89920 and 89930.

Prime Factorization of 89920

Prime Factorization of 89930

Now multiplying the highest exponent prime factors to calculate the LCM of 89920 and 89930.

LCM(89920,89930) = 2⁶ × 5¹ × 281¹ × 17¹ × 23²
LCM(89920,89930) = 808650560