What is the Least Common Multiple of 74832 and 74843?

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 74832 and 74843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74832 and 74843, than apply into the LCM equation.

GCF(74832,74843) = 1
LCM(74832,74843) = ( 74832 × 74843) / 1
LCM(74832,74843) = 5600651376 / 1
LCM(74832,74843) = 5600651376

Least Common Multiple (LCM) of 74832 and 74843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74832 and 74843. First we will calculate the prime factors of 74832 and 74843.

Prime Factorization of 74832

Prime Factorization of 74843

Now multiplying the highest exponent prime factors to calculate the LCM of 74832 and 74843.

LCM(74832,74843) = 2⁴ × 3¹ × 1559¹ × 74843¹
LCM(74832,74843) = 5600651376