What is the Least Common Multiple of 4140 and 4160?

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 4140 and 4160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4140 and 4160, than apply into the LCM equation.

GCF(4140,4160) = 20
LCM(4140,4160) = ( 4140 × 4160) / 20
LCM(4140,4160) = 17222400 / 20
LCM(4140,4160) = 861120

Least Common Multiple (LCM) of 4140 and 4160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4140 and 4160. First we will calculate the prime factors of 4140 and 4160.

Prime Factorization of 4140

Prime Factorization of 4160

Now multiplying the highest exponent prime factors to calculate the LCM of 4140 and 4160.

LCM(4140,4160) = 2⁶ × 3² × 5¹ × 23¹ × 13¹
LCM(4140,4160) = 861120