What is the Least Common Multiple of 8040 and 8060?

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 8040 and 8060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8040 and 8060, than apply into the LCM equation.

GCF(8040,8060) = 20
LCM(8040,8060) = ( 8040 × 8060) / 20
LCM(8040,8060) = 64802400 / 20
LCM(8040,8060) = 3240120

Least Common Multiple (LCM) of 8040 and 8060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8040 and 8060. First we will calculate the prime factors of 8040 and 8060.

Prime Factorization of 8040

Prime Factorization of 8060

Now multiplying the highest exponent prime factors to calculate the LCM of 8040 and 8060.

LCM(8040,8060) = 2³ × 3¹ × 5¹ × 67¹ × 13¹ × 31¹
LCM(8040,8060) = 3240120