GCF and LCM Calculator Logo

What is the Least Common Multiple of 4153 and 4164?

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 4153 and 4164 is 17293092.

LCM(4153,4164) = 17293092

LCM Calculator and
and

Least Common Multiple of 4153 and 4164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4153 and 4164, than apply into the LCM equation.

GCF(4153,4164) = 1
LCM(4153,4164) = ( 4153 × 4164) / 1
LCM(4153,4164) = 17293092 / 1
LCM(4153,4164) = 17293092

Least Common Multiple (LCM) of 4153 and 4164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4153 and 4164. First we will calculate the prime factors of 4153 and 4164.

Prime Factorization of 4153

Prime factors of 4153 are 4153. Prime factorization of 4153 in exponential form is:

4153 = 41531

Prime Factorization of 4164

Prime factors of 4164 are 2, 3, 347. Prime factorization of 4164 in exponential form is:

4164 = 22 × 31 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 4153 and 4164.

LCM(4153,4164) = 41531 × 22 × 31 × 3471
LCM(4153,4164) = 17293092