What is the Least Common Multiple of 10980 and 11000?

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 10980 and 11000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10980 and 11000, than apply into the LCM equation.

GCF(10980,11000) = 20
LCM(10980,11000) = ( 10980 × 11000) / 20
LCM(10980,11000) = 120780000 / 20
LCM(10980,11000) = 6039000

Least Common Multiple (LCM) of 10980 and 11000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10980 and 11000. First we will calculate the prime factors of 10980 and 11000.

Prime Factorization of 10980

Prime Factorization of 11000

Now multiplying the highest exponent prime factors to calculate the LCM of 10980 and 11000.

LCM(10980,11000) = 2³ × 3² × 5³ × 61¹ × 11¹
LCM(10980,11000) = 6039000