What is the Least Common Multiple of 16080 and 16084?

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 16080 and 16084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16080 and 16084, than apply into the LCM equation.

GCF(16080,16084) = 4
LCM(16080,16084) = ( 16080 × 16084) / 4
LCM(16080,16084) = 258630720 / 4
LCM(16080,16084) = 64657680

Least Common Multiple (LCM) of 16080 and 16084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16080 and 16084. First we will calculate the prime factors of 16080 and 16084.

Prime Factorization of 16080

Prime Factorization of 16084

Now multiplying the highest exponent prime factors to calculate the LCM of 16080 and 16084.

LCM(16080,16084) = 2⁴ × 3¹ × 5¹ × 67¹ × 4021¹
LCM(16080,16084) = 64657680