GCF and LCM Calculator Logo

What is the Least Common Multiple of 4155 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 (LCM) of 4155 and 4160 is 3456960.

LCM(4155,4160) = 3456960

LCM Calculator and
and

Least Common Multiple of 4155 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 4155 and 4160, than apply into the LCM equation.

GCF(4155,4160) = 5
LCM(4155,4160) = ( 4155 × 4160) / 5
LCM(4155,4160) = 17284800 / 5
LCM(4155,4160) = 3456960

Least Common Multiple (LCM) of 4155 and 4160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4155 and 4160. First we will calculate the prime factors of 4155 and 4160.

Prime Factorization of 4155

Prime factors of 4155 are 3, 5, 277. Prime factorization of 4155 in exponential form is:

4155 = 31 × 51 × 2771

Prime Factorization of 4160

Prime factors of 4160 are 2, 5, 13. Prime factorization of 4160 in exponential form is:

4160 = 26 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4155 and 4160.

LCM(4155,4160) = 31 × 51 × 2771 × 26 × 131
LCM(4155,4160) = 3456960