What is the Least Common Multiple of 74832 and 74844?

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 74844 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 74844, than apply into the LCM equation.

GCF(74832,74844) = 12
LCM(74832,74844) = ( 74832 × 74844) / 12
LCM(74832,74844) = 5600726208 / 12
LCM(74832,74844) = 466727184

Least Common Multiple (LCM) of 74832 and 74844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74832 and 74844. First we will calculate the prime factors of 74832 and 74844.

Prime Factorization of 74832

Prime Factorization of 74844

Now multiplying the highest exponent prime factors to calculate the LCM of 74832 and 74844.

LCM(74832,74844) = 2⁴ × 3⁵ × 1559¹ × 7¹ × 11¹
LCM(74832,74844) = 466727184