GCF and LCM Calculator Logo

What is the Least Common Multiple of 1170 and 1181?

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 1170 and 1181 is 1381770.

LCM(1170,1181) = 1381770

LCM Calculator and
and

Least Common Multiple of 1170 and 1181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1170 and 1181, than apply into the LCM equation.

GCF(1170,1181) = 1
LCM(1170,1181) = ( 1170 × 1181) / 1
LCM(1170,1181) = 1381770 / 1
LCM(1170,1181) = 1381770

Least Common Multiple (LCM) of 1170 and 1181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1170 and 1181. First we will calculate the prime factors of 1170 and 1181.

Prime Factorization of 1170

Prime factors of 1170 are 2, 3, 5, 13. Prime factorization of 1170 in exponential form is:

1170 = 21 × 32 × 51 × 131

Prime Factorization of 1181

Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:

1181 = 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 1170 and 1181.

LCM(1170,1181) = 21 × 32 × 51 × 131 × 11811
LCM(1170,1181) = 1381770