GCF and LCM Calculator Logo

What is the Least Common Multiple of 66075 and 66091?

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 66075 and 66091 is 4366962825.

LCM(66075,66091) = 4366962825

LCM Calculator and
and

Least Common Multiple of 66075 and 66091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66075 and 66091, than apply into the LCM equation.

GCF(66075,66091) = 1
LCM(66075,66091) = ( 66075 × 66091) / 1
LCM(66075,66091) = 4366962825 / 1
LCM(66075,66091) = 4366962825

Least Common Multiple (LCM) of 66075 and 66091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66075 and 66091. First we will calculate the prime factors of 66075 and 66091.

Prime Factorization of 66075

Prime factors of 66075 are 3, 5, 881. Prime factorization of 66075 in exponential form is:

66075 = 31 × 52 × 8811

Prime Factorization of 66091

Prime factors of 66091 are 29, 43, 53. Prime factorization of 66091 in exponential form is:

66091 = 291 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 66075 and 66091.

LCM(66075,66091) = 31 × 52 × 8811 × 291 × 431 × 531
LCM(66075,66091) = 4366962825