What is the Least Common Multiple of 4075 and 4094?

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 4094 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 4094, than apply into the LCM equation.

GCF(4075,4094) = 1
LCM(4075,4094) = ( 4075 × 4094) / 1
LCM(4075,4094) = 16683050 / 1
LCM(4075,4094) = 16683050

Least Common Multiple (LCM) of 4075 and 4094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4075 and 4094. First we will calculate the prime factors of 4075 and 4094.

Prime Factorization of 4075

Prime Factorization of 4094

Now multiplying the highest exponent prime factors to calculate the LCM of 4075 and 4094.

LCM(4075,4094) = 5² × 163¹ × 2¹ × 23¹ × 89¹
LCM(4075,4094) = 16683050