What is the Least Common Multiple of 43032 and 43048?

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 43032 and 43048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43032 and 43048, than apply into the LCM equation.

GCF(43032,43048) = 8
LCM(43032,43048) = ( 43032 × 43048) / 8
LCM(43032,43048) = 1852441536 / 8
LCM(43032,43048) = 231555192

Least Common Multiple (LCM) of 43032 and 43048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43032 and 43048. First we will calculate the prime factors of 43032 and 43048.

Prime Factorization of 43032

Prime Factorization of 43048

Now multiplying the highest exponent prime factors to calculate the LCM of 43032 and 43048.

LCM(43032,43048) = 2³ × 3¹ × 11¹ × 163¹ × 5381¹
LCM(43032,43048) = 231555192