What is the Least Common Multiple of 16038 and 16058?

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 16038 and 16058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16038 and 16058, than apply into the LCM equation.

GCF(16038,16058) = 2
LCM(16038,16058) = ( 16038 × 16058) / 2
LCM(16038,16058) = 257538204 / 2
LCM(16038,16058) = 128769102

Least Common Multiple (LCM) of 16038 and 16058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16038 and 16058. First we will calculate the prime factors of 16038 and 16058.

Prime Factorization of 16038

Prime Factorization of 16058

Now multiplying the highest exponent prime factors to calculate the LCM of 16038 and 16058.

LCM(16038,16058) = 2¹ × 3⁶ × 11¹ × 7¹ × 31¹ × 37¹
LCM(16038,16058) = 128769102