What is the Least Common Multiple of 14971 and 14989?

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 14971 and 14989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14971 and 14989, than apply into the LCM equation.

GCF(14971,14989) = 1
LCM(14971,14989) = ( 14971 × 14989) / 1
LCM(14971,14989) = 224400319 / 1
LCM(14971,14989) = 224400319

Least Common Multiple (LCM) of 14971 and 14989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14971 and 14989. First we will calculate the prime factors of 14971 and 14989.

Prime Factorization of 14971

Prime Factorization of 14989

Now multiplying the highest exponent prime factors to calculate the LCM of 14971 and 14989.

LCM(14971,14989) = 11¹ × 1361¹ × 13¹ × 1153¹
LCM(14971,14989) = 224400319