What is the Least Common Multiple of 4075 and 4091?

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 4075 and 4091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4075 and 4091, than apply into the LCM equation.

GCF(4075,4091) = 1
LCM(4075,4091) = ( 4075 × 4091) / 1
LCM(4075,4091) = 16670825 / 1
LCM(4075,4091) = 16670825

Least Common Multiple (LCM) of 4075 and 4091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4075 and 4091. First we will calculate the prime factors of 4075 and 4091.

Prime Factorization of 4075

Prime Factorization of 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4075 and 4091.

LCM(4075,4091) = 5² × 163¹ × 4091¹
LCM(4075,4091) = 16670825