GCF and LCM Calculator Logo

What is the Least Common Multiple of 1075 and 1090?

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 1075 and 1090 is 234350.

LCM(1075,1090) = 234350

LCM Calculator and
and

Least Common Multiple of 1075 and 1090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1075 and 1090, than apply into the LCM equation.

GCF(1075,1090) = 5
LCM(1075,1090) = ( 1075 × 1090) / 5
LCM(1075,1090) = 1171750 / 5
LCM(1075,1090) = 234350

Least Common Multiple (LCM) of 1075 and 1090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1075 and 1090. First we will calculate the prime factors of 1075 and 1090.

Prime Factorization of 1075

Prime factors of 1075 are 5, 43. Prime factorization of 1075 in exponential form is:

1075 = 52 × 431

Prime Factorization of 1090

Prime factors of 1090 are 2, 5, 109. Prime factorization of 1090 in exponential form is:

1090 = 21 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1075 and 1090.

LCM(1075,1090) = 52 × 431 × 21 × 1091
LCM(1075,1090) = 234350