What is the Least Common Multiple of 11984 and 11998?

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 11984 and 11998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11984 and 11998, than apply into the LCM equation.

GCF(11984,11998) = 14
LCM(11984,11998) = ( 11984 × 11998) / 14
LCM(11984,11998) = 143784032 / 14
LCM(11984,11998) = 10270288

Least Common Multiple (LCM) of 11984 and 11998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11984 and 11998. First we will calculate the prime factors of 11984 and 11998.

Prime Factorization of 11984

Prime Factorization of 11998

Now multiplying the highest exponent prime factors to calculate the LCM of 11984 and 11998.

LCM(11984,11998) = 2⁴ × 7¹ × 107¹ × 857¹
LCM(11984,11998) = 10270288