What is the Least Common Multiple of 11972 and 11988?

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 11972 and 11988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11972 and 11988, than apply into the LCM equation.

GCF(11972,11988) = 4
LCM(11972,11988) = ( 11972 × 11988) / 4
LCM(11972,11988) = 143520336 / 4
LCM(11972,11988) = 35880084

Least Common Multiple (LCM) of 11972 and 11988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11972 and 11988. First we will calculate the prime factors of 11972 and 11988.

Prime Factorization of 11972

Prime Factorization of 11988

Now multiplying the highest exponent prime factors to calculate the LCM of 11972 and 11988.

LCM(11972,11988) = 2² × 41¹ × 73¹ × 3⁴ × 37¹
LCM(11972,11988) = 35880084