What is the Least Common Multiple of 75336 and 75344?

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 75336 and 75344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75336 and 75344, than apply into the LCM equation.

GCF(75336,75344) = 8
LCM(75336,75344) = ( 75336 × 75344) / 8
LCM(75336,75344) = 5676115584 / 8
LCM(75336,75344) = 709514448

Least Common Multiple (LCM) of 75336 and 75344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75336 and 75344. First we will calculate the prime factors of 75336 and 75344.

Prime Factorization of 75336

Prime Factorization of 75344

Now multiplying the highest exponent prime factors to calculate the LCM of 75336 and 75344.

LCM(75336,75344) = 2⁴ × 3¹ × 43¹ × 73¹ × 17¹ × 277¹
LCM(75336,75344) = 709514448