What is the Least Common Multiple of 5160 and 5164?

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 5160 and 5164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5160 and 5164, than apply into the LCM equation.

GCF(5160,5164) = 4
LCM(5160,5164) = ( 5160 × 5164) / 4
LCM(5160,5164) = 26646240 / 4
LCM(5160,5164) = 6661560

Least Common Multiple (LCM) of 5160 and 5164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5160 and 5164. First we will calculate the prime factors of 5160 and 5164.

Prime Factorization of 5160

Prime Factorization of 5164

Now multiplying the highest exponent prime factors to calculate the LCM of 5160 and 5164.

LCM(5160,5164) = 2³ × 3¹ × 5¹ × 43¹ × 1291¹
LCM(5160,5164) = 6661560