What is the Least Common Multiple of 14010 and 14029?

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 14010 and 14029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14010 and 14029, than apply into the LCM equation.

GCF(14010,14029) = 1
LCM(14010,14029) = ( 14010 × 14029) / 1
LCM(14010,14029) = 196546290 / 1
LCM(14010,14029) = 196546290

Least Common Multiple (LCM) of 14010 and 14029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14010 and 14029. First we will calculate the prime factors of 14010 and 14029.

Prime Factorization of 14010

Prime Factorization of 14029

Now multiplying the highest exponent prime factors to calculate the LCM of 14010 and 14029.

LCM(14010,14029) = 2¹ × 3¹ × 5¹ × 467¹ × 14029¹
LCM(14010,14029) = 196546290