What is the Least Common Multiple of 11010 and 11030?

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 11010 and 11030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11010 and 11030, than apply into the LCM equation.

GCF(11010,11030) = 10
LCM(11010,11030) = ( 11010 × 11030) / 10
LCM(11010,11030) = 121440300 / 10
LCM(11010,11030) = 12144030

Least Common Multiple (LCM) of 11010 and 11030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11010 and 11030. First we will calculate the prime factors of 11010 and 11030.

Prime Factorization of 11010

Prime Factorization of 11030

Now multiplying the highest exponent prime factors to calculate the LCM of 11010 and 11030.

LCM(11010,11030) = 2¹ × 3¹ × 5¹ × 367¹ × 1103¹
LCM(11010,11030) = 12144030