GCF and LCM Calculator Logo

What is the Least Common Multiple of 4156 and 4175?

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 4156 and 4175 is 17351300.

LCM(4156,4175) = 17351300

LCM Calculator and
and

Least Common Multiple of 4156 and 4175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4156 and 4175, than apply into the LCM equation.

GCF(4156,4175) = 1
LCM(4156,4175) = ( 4156 × 4175) / 1
LCM(4156,4175) = 17351300 / 1
LCM(4156,4175) = 17351300

Least Common Multiple (LCM) of 4156 and 4175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4156 and 4175. First we will calculate the prime factors of 4156 and 4175.

Prime Factorization of 4156

Prime factors of 4156 are 2, 1039. Prime factorization of 4156 in exponential form is:

4156 = 22 × 10391

Prime Factorization of 4175

Prime factors of 4175 are 5, 167. Prime factorization of 4175 in exponential form is:

4175 = 52 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4156 and 4175.

LCM(4156,4175) = 22 × 10391 × 52 × 1671
LCM(4156,4175) = 17351300