What is the Least Common Multiple of 10956 and 10968?

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 10956 and 10968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10956 and 10968, than apply into the LCM equation.

GCF(10956,10968) = 12
LCM(10956,10968) = ( 10956 × 10968) / 12
LCM(10956,10968) = 120165408 / 12
LCM(10956,10968) = 10013784

Least Common Multiple (LCM) of 10956 and 10968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10956 and 10968. First we will calculate the prime factors of 10956 and 10968.

Prime Factorization of 10956

Prime Factorization of 10968

Now multiplying the highest exponent prime factors to calculate the LCM of 10956 and 10968.

LCM(10956,10968) = 2³ × 3¹ × 11¹ × 83¹ × 457¹
LCM(10956,10968) = 10013784