What is the Least Common Multiple of 2102 and 2110?

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 2102 and 2110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2102 and 2110, than apply into the LCM equation.

GCF(2102,2110) = 2
LCM(2102,2110) = ( 2102 × 2110) / 2
LCM(2102,2110) = 4435220 / 2
LCM(2102,2110) = 2217610

Least Common Multiple (LCM) of 2102 and 2110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2102 and 2110. First we will calculate the prime factors of 2102 and 2110.

Prime Factorization of 2102

Prime Factorization of 2110

Now multiplying the highest exponent prime factors to calculate the LCM of 2102 and 2110.

LCM(2102,2110) = 2¹ × 1051¹ × 5¹ × 211¹
LCM(2102,2110) = 2217610