What is the Least Common Multiple of 18920 and 18931?

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 18920 and 18931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18920 and 18931, than apply into the LCM equation.

GCF(18920,18931) = 11
LCM(18920,18931) = ( 18920 × 18931) / 11
LCM(18920,18931) = 358174520 / 11
LCM(18920,18931) = 32561320

Least Common Multiple (LCM) of 18920 and 18931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18920 and 18931. First we will calculate the prime factors of 18920 and 18931.

Prime Factorization of 18920

Prime Factorization of 18931

Now multiplying the highest exponent prime factors to calculate the LCM of 18920 and 18931.

LCM(18920,18931) = 2³ × 5¹ × 11¹ × 43¹ × 1721¹
LCM(18920,18931) = 32561320