What is the Least Common Multiple of 54080 and 54085?

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 54080 and 54085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54080 and 54085, than apply into the LCM equation.

GCF(54080,54085) = 5
LCM(54080,54085) = ( 54080 × 54085) / 5
LCM(54080,54085) = 2924916800 / 5
LCM(54080,54085) = 584983360

Least Common Multiple (LCM) of 54080 and 54085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54080 and 54085. First we will calculate the prime factors of 54080 and 54085.

Prime Factorization of 54080

Prime Factorization of 54085

Now multiplying the highest exponent prime factors to calculate the LCM of 54080 and 54085.

LCM(54080,54085) = 2⁶ × 5¹ × 13² × 29¹ × 373¹
LCM(54080,54085) = 584983360