What is the Least Common Multiple of 1095 and 1113?

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 1113 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 1113, than apply into the LCM equation.

GCF(1095,1113) = 3
LCM(1095,1113) = ( 1095 × 1113) / 3
LCM(1095,1113) = 1218735 / 3
LCM(1095,1113) = 406245

Least Common Multiple (LCM) of 1095 and 1113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1095 and 1113. First we will calculate the prime factors of 1095 and 1113.

Prime Factorization of 1095

Prime Factorization of 1113

Now multiplying the highest exponent prime factors to calculate the LCM of 1095 and 1113.

LCM(1095,1113) = 3¹ × 5¹ × 73¹ × 7¹ × 53¹
LCM(1095,1113) = 406245