What is the Least Common Multiple of 28040 and 28060?

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 28040 and 28060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28040 and 28060, than apply into the LCM equation.

GCF(28040,28060) = 20
LCM(28040,28060) = ( 28040 × 28060) / 20
LCM(28040,28060) = 786802400 / 20
LCM(28040,28060) = 39340120

Least Common Multiple (LCM) of 28040 and 28060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28040 and 28060. First we will calculate the prime factors of 28040 and 28060.

Prime Factorization of 28040

Prime Factorization of 28060

Now multiplying the highest exponent prime factors to calculate the LCM of 28040 and 28060.

LCM(28040,28060) = 2³ × 5¹ × 701¹ × 23¹ × 61¹
LCM(28040,28060) = 39340120