What is the Least Common Multiple of 89925 and 89931?

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 89925 and 89931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89925 and 89931, than apply into the LCM equation.

GCF(89925,89931) = 3
LCM(89925,89931) = ( 89925 × 89931) / 3
LCM(89925,89931) = 8087045175 / 3
LCM(89925,89931) = 2695681725

Least Common Multiple (LCM) of 89925 and 89931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89925 and 89931. First we will calculate the prime factors of 89925 and 89931.

Prime Factorization of 89925

Prime Factorization of 89931

Now multiplying the highest exponent prime factors to calculate the LCM of 89925 and 89931.

LCM(89925,89931) = 3¹ × 5² × 11¹ × 109¹ × 31¹ × 967¹
LCM(89925,89931) = 2695681725