What is the Least Common Multiple of 14000 and 14010?

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 14000 and 14010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14000 and 14010, than apply into the LCM equation.

GCF(14000,14010) = 10
LCM(14000,14010) = ( 14000 × 14010) / 10
LCM(14000,14010) = 196140000 / 10
LCM(14000,14010) = 19614000

Least Common Multiple (LCM) of 14000 and 14010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14000 and 14010. First we will calculate the prime factors of 14000 and 14010.

Prime Factorization of 14000

Prime Factorization of 14010

Now multiplying the highest exponent prime factors to calculate the LCM of 14000 and 14010.

LCM(14000,14010) = 2⁴ × 5³ × 7¹ × 3¹ × 467¹
LCM(14000,14010) = 19614000