What is the Least Common Multiple of 1155 and 1171?

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 1155 and 1171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1155 and 1171, than apply into the LCM equation.

GCF(1155,1171) = 1
LCM(1155,1171) = ( 1155 × 1171) / 1
LCM(1155,1171) = 1352505 / 1
LCM(1155,1171) = 1352505

Least Common Multiple (LCM) of 1155 and 1171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1155 and 1171. First we will calculate the prime factors of 1155 and 1171.

Prime Factorization of 1155

Prime Factorization of 1171

Now multiplying the highest exponent prime factors to calculate the LCM of 1155 and 1171.

LCM(1155,1171) = 3¹ × 5¹ × 7¹ × 11¹ × 1171¹
LCM(1155,1171) = 1352505