What is the Least Common Multiple of 10960 and 10973?

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 10960 and 10973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10960 and 10973, than apply into the LCM equation.

GCF(10960,10973) = 1
LCM(10960,10973) = ( 10960 × 10973) / 1
LCM(10960,10973) = 120264080 / 1
LCM(10960,10973) = 120264080

Least Common Multiple (LCM) of 10960 and 10973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10960 and 10973. First we will calculate the prime factors of 10960 and 10973.

Prime Factorization of 10960

Prime Factorization of 10973

Now multiplying the highest exponent prime factors to calculate the LCM of 10960 and 10973.

LCM(10960,10973) = 2⁴ × 5¹ × 137¹ × 10973¹
LCM(10960,10973) = 120264080