What is the Least Common Multiple of 73224 and 73232?

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 73224 and 73232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73224 and 73232, than apply into the LCM equation.

GCF(73224,73232) = 8
LCM(73224,73232) = ( 73224 × 73232) / 8
LCM(73224,73232) = 5362339968 / 8
LCM(73224,73232) = 670292496

Least Common Multiple (LCM) of 73224 and 73232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73224 and 73232. First we will calculate the prime factors of 73224 and 73232.

Prime Factorization of 73224

Prime Factorization of 73232

Now multiplying the highest exponent prime factors to calculate the LCM of 73224 and 73232.

LCM(73224,73232) = 2⁴ × 3⁴ × 113¹ × 23¹ × 199¹
LCM(73224,73232) = 670292496