What is the Least Common Multiple of 6032 and 6048?

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 6032 and 6048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6032 and 6048, than apply into the LCM equation.

GCF(6032,6048) = 16
LCM(6032,6048) = ( 6032 × 6048) / 16
LCM(6032,6048) = 36481536 / 16
LCM(6032,6048) = 2280096

Least Common Multiple (LCM) of 6032 and 6048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6032 and 6048. First we will calculate the prime factors of 6032 and 6048.

Prime Factorization of 6032

Prime Factorization of 6048

Now multiplying the highest exponent prime factors to calculate the LCM of 6032 and 6048.

LCM(6032,6048) = 2⁵ × 13¹ × 29¹ × 3³ × 7¹
LCM(6032,6048) = 2280096