What is the Least Common Multiple of 10980 and 10995?

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 10995 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 10995, than apply into the LCM equation.

GCF(10980,10995) = 15
LCM(10980,10995) = ( 10980 × 10995) / 15
LCM(10980,10995) = 120725100 / 15
LCM(10980,10995) = 8048340

Least Common Multiple (LCM) of 10980 and 10995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10980 and 10995. First we will calculate the prime factors of 10980 and 10995.

Prime Factorization of 10980

Prime Factorization of 10995

Now multiplying the highest exponent prime factors to calculate the LCM of 10980 and 10995.

LCM(10980,10995) = 2² × 3² × 5¹ × 61¹ × 733¹
LCM(10980,10995) = 8048340