What is the Least Common Multiple of 14960 and 14971?

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 14960 and 14971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14960 and 14971, than apply into the LCM equation.

GCF(14960,14971) = 11
LCM(14960,14971) = ( 14960 × 14971) / 11
LCM(14960,14971) = 223966160 / 11
LCM(14960,14971) = 20360560

Least Common Multiple (LCM) of 14960 and 14971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14960 and 14971. First we will calculate the prime factors of 14960 and 14971.

Prime Factorization of 14960

Prime Factorization of 14971

Now multiplying the highest exponent prime factors to calculate the LCM of 14960 and 14971.

LCM(14960,14971) = 2⁴ × 5¹ × 11¹ × 17¹ × 1361¹
LCM(14960,14971) = 20360560