What is the Least Common Multiple of 10962 and 10967?

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 10962 and 10967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10962 and 10967, than apply into the LCM equation.

GCF(10962,10967) = 1
LCM(10962,10967) = ( 10962 × 10967) / 1
LCM(10962,10967) = 120220254 / 1
LCM(10962,10967) = 120220254

Least Common Multiple (LCM) of 10962 and 10967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10962 and 10967. First we will calculate the prime factors of 10962 and 10967.

Prime Factorization of 10962

Prime Factorization of 10967

Now multiplying the highest exponent prime factors to calculate the LCM of 10962 and 10967.

LCM(10962,10967) = 2¹ × 3³ × 7¹ × 29¹ × 11¹ × 997¹
LCM(10962,10967) = 120220254