What is the Least Common Multiple of 14030 and 14038?

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 14030 and 14038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14030 and 14038, than apply into the LCM equation.

GCF(14030,14038) = 2
LCM(14030,14038) = ( 14030 × 14038) / 2
LCM(14030,14038) = 196953140 / 2
LCM(14030,14038) = 98476570

Least Common Multiple (LCM) of 14030 and 14038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14030 and 14038. First we will calculate the prime factors of 14030 and 14038.

Prime Factorization of 14030

Prime Factorization of 14038

Now multiplying the highest exponent prime factors to calculate the LCM of 14030 and 14038.

LCM(14030,14038) = 2¹ × 5¹ × 23¹ × 61¹ × 7019¹
LCM(14030,14038) = 98476570