What is the Least Common Multiple of 11970 and 11984?

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 11970 and 11984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11970 and 11984, than apply into the LCM equation.

GCF(11970,11984) = 14
LCM(11970,11984) = ( 11970 × 11984) / 14
LCM(11970,11984) = 143448480 / 14
LCM(11970,11984) = 10246320

Least Common Multiple (LCM) of 11970 and 11984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11970 and 11984. First we will calculate the prime factors of 11970 and 11984.

Prime Factorization of 11970

Prime Factorization of 11984

Now multiplying the highest exponent prime factors to calculate the LCM of 11970 and 11984.

LCM(11970,11984) = 2⁴ × 3² × 5¹ × 7¹ × 19¹ × 107¹
LCM(11970,11984) = 10246320