What is the Least Common Multiple of 18920 and 18940?

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 18940 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 18940, than apply into the LCM equation.

GCF(18920,18940) = 20
LCM(18920,18940) = ( 18920 × 18940) / 20
LCM(18920,18940) = 358344800 / 20
LCM(18920,18940) = 17917240

Least Common Multiple (LCM) of 18920 and 18940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18920 and 18940. First we will calculate the prime factors of 18920 and 18940.

Prime Factorization of 18920

Prime Factorization of 18940

Now multiplying the highest exponent prime factors to calculate the LCM of 18920 and 18940.

LCM(18920,18940) = 2³ × 5¹ × 11¹ × 43¹ × 947¹
LCM(18920,18940) = 17917240