What is the Least Common Multiple of 1095 and 1101?

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 1095 and 1101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1095 and 1101, than apply into the LCM equation.

GCF(1095,1101) = 3
LCM(1095,1101) = ( 1095 × 1101) / 3
LCM(1095,1101) = 1205595 / 3
LCM(1095,1101) = 401865

Least Common Multiple (LCM) of 1095 and 1101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1095 and 1101. First we will calculate the prime factors of 1095 and 1101.

Prime Factorization of 1095

Prime Factorization of 1101

Now multiplying the highest exponent prime factors to calculate the LCM of 1095 and 1101.

LCM(1095,1101) = 3¹ × 5¹ × 73¹ × 367¹
LCM(1095,1101) = 401865