What is the Least Common Multiple of 11970 and 11989?

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 11989 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 11989, than apply into the LCM equation.

GCF(11970,11989) = 19
LCM(11970,11989) = ( 11970 × 11989) / 19
LCM(11970,11989) = 143508330 / 19
LCM(11970,11989) = 7553070

Least Common Multiple (LCM) of 11970 and 11989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11970 and 11989. First we will calculate the prime factors of 11970 and 11989.

Prime Factorization of 11970

Prime Factorization of 11989

Now multiplying the highest exponent prime factors to calculate the LCM of 11970 and 11989.

LCM(11970,11989) = 2¹ × 3² × 5¹ × 7¹ × 19¹ × 631¹
LCM(11970,11989) = 7553070