What is the Least Common Multiple of 16032 and 16048?

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 16032 and 16048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16032 and 16048, than apply into the LCM equation.

GCF(16032,16048) = 16
LCM(16032,16048) = ( 16032 × 16048) / 16
LCM(16032,16048) = 257281536 / 16
LCM(16032,16048) = 16080096

Least Common Multiple (LCM) of 16032 and 16048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16032 and 16048. First we will calculate the prime factors of 16032 and 16048.

Prime Factorization of 16032

Prime Factorization of 16048

Now multiplying the highest exponent prime factors to calculate the LCM of 16032 and 16048.

LCM(16032,16048) = 2⁵ × 3¹ × 167¹ × 17¹ × 59¹
LCM(16032,16048) = 16080096