What is the Least Common Multiple of 14044 and 14058?

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 14044 and 14058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14044 and 14058, than apply into the LCM equation.

GCF(14044,14058) = 2
LCM(14044,14058) = ( 14044 × 14058) / 2
LCM(14044,14058) = 197430552 / 2
LCM(14044,14058) = 98715276

Least Common Multiple (LCM) of 14044 and 14058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14044 and 14058. First we will calculate the prime factors of 14044 and 14058.

Prime Factorization of 14044

Prime Factorization of 14058

Now multiplying the highest exponent prime factors to calculate the LCM of 14044 and 14058.

LCM(14044,14058) = 2² × 3511¹ × 3² × 11¹ × 71¹
LCM(14044,14058) = 98715276