What is the Least Common Multiple of 1102 and 1121?

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 1102 and 1121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1102 and 1121, than apply into the LCM equation.

GCF(1102,1121) = 19
LCM(1102,1121) = ( 1102 × 1121) / 19
LCM(1102,1121) = 1235342 / 19
LCM(1102,1121) = 65018

Least Common Multiple (LCM) of 1102 and 1121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1102 and 1121. First we will calculate the prime factors of 1102 and 1121.

Prime Factorization of 1102

Prime Factorization of 1121

Now multiplying the highest exponent prime factors to calculate the LCM of 1102 and 1121.

LCM(1102,1121) = 2¹ × 19¹ × 29¹ × 59¹
LCM(1102,1121) = 65018