GCF and LCM Calculator Logo

What is the Least Common Multiple of 1157 and 1162?

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 1157 and 1162 is 1344434.

LCM(1157,1162) = 1344434

LCM Calculator and
and

Least Common Multiple of 1157 and 1162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1157 and 1162, than apply into the LCM equation.

GCF(1157,1162) = 1
LCM(1157,1162) = ( 1157 × 1162) / 1
LCM(1157,1162) = 1344434 / 1
LCM(1157,1162) = 1344434

Least Common Multiple (LCM) of 1157 and 1162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1157 and 1162. First we will calculate the prime factors of 1157 and 1162.

Prime Factorization of 1157

Prime factors of 1157 are 13, 89. Prime factorization of 1157 in exponential form is:

1157 = 131 × 891

Prime Factorization of 1162

Prime factors of 1162 are 2, 7, 83. Prime factorization of 1162 in exponential form is:

1162 = 21 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 1157 and 1162.

LCM(1157,1162) = 131 × 891 × 21 × 71 × 831
LCM(1157,1162) = 1344434