What is the Least Common Multiple of 11954 and 11968?

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 11954 and 11968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11954 and 11968, than apply into the LCM equation.

GCF(11954,11968) = 2
LCM(11954,11968) = ( 11954 × 11968) / 2
LCM(11954,11968) = 143065472 / 2
LCM(11954,11968) = 71532736

Least Common Multiple (LCM) of 11954 and 11968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11954 and 11968. First we will calculate the prime factors of 11954 and 11968.

Prime Factorization of 11954

Prime Factorization of 11968

Now multiplying the highest exponent prime factors to calculate the LCM of 11954 and 11968.

LCM(11954,11968) = 2⁶ × 43¹ × 139¹ × 11¹ × 17¹
LCM(11954,11968) = 71532736