What is the Least Common Multiple of 10971 and 10980?

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 10971 and 10980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10971 and 10980, than apply into the LCM equation.

GCF(10971,10980) = 9
LCM(10971,10980) = ( 10971 × 10980) / 9
LCM(10971,10980) = 120461580 / 9
LCM(10971,10980) = 13384620

Least Common Multiple (LCM) of 10971 and 10980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10971 and 10980. First we will calculate the prime factors of 10971 and 10980.

Prime Factorization of 10971

Prime Factorization of 10980

Now multiplying the highest exponent prime factors to calculate the LCM of 10971 and 10980.

LCM(10971,10980) = 3² × 23¹ × 53¹ × 2² × 5¹ × 61¹
LCM(10971,10980) = 13384620