What is the Least Common Multiple of 28920 and 28940?

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 28920 and 28940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28920 and 28940, than apply into the LCM equation.

GCF(28920,28940) = 20
LCM(28920,28940) = ( 28920 × 28940) / 20
LCM(28920,28940) = 836944800 / 20
LCM(28920,28940) = 41847240

Least Common Multiple (LCM) of 28920 and 28940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28920 and 28940. First we will calculate the prime factors of 28920 and 28940.

Prime Factorization of 28920

Prime Factorization of 28940

Now multiplying the highest exponent prime factors to calculate the LCM of 28920 and 28940.

LCM(28920,28940) = 2³ × 3¹ × 5¹ × 241¹ × 1447¹
LCM(28920,28940) = 41847240