What is the Least Common Multiple of 1095 and 1105?

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 1105 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 1105, than apply into the LCM equation.

GCF(1095,1105) = 5
LCM(1095,1105) = ( 1095 × 1105) / 5
LCM(1095,1105) = 1209975 / 5
LCM(1095,1105) = 241995

Least Common Multiple (LCM) of 1095 and 1105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1095 and 1105. First we will calculate the prime factors of 1095 and 1105.

Prime Factorization of 1095

Prime Factorization of 1105

Now multiplying the highest exponent prime factors to calculate the LCM of 1095 and 1105.

LCM(1095,1105) = 3¹ × 5¹ × 73¹ × 13¹ × 17¹
LCM(1095,1105) = 241995