What is the Least Common Multiple of 11964 and 11972?

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 11964 and 11972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11964 and 11972, than apply into the LCM equation.

GCF(11964,11972) = 4
LCM(11964,11972) = ( 11964 × 11972) / 4
LCM(11964,11972) = 143233008 / 4
LCM(11964,11972) = 35808252

Least Common Multiple (LCM) of 11964 and 11972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11964 and 11972. First we will calculate the prime factors of 11964 and 11972.

Prime Factorization of 11964

Prime Factorization of 11972

Now multiplying the highest exponent prime factors to calculate the LCM of 11964 and 11972.

LCM(11964,11972) = 2² × 3¹ × 997¹ × 41¹ × 73¹
LCM(11964,11972) = 35808252