What is the Least Common Multiple of 81228 and 81232?

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 81228 and 81232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81228 and 81232, than apply into the LCM equation.

GCF(81228,81232) = 4
LCM(81228,81232) = ( 81228 × 81232) / 4
LCM(81228,81232) = 6598312896 / 4
LCM(81228,81232) = 1649578224

Least Common Multiple (LCM) of 81228 and 81232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81228 and 81232. First we will calculate the prime factors of 81228 and 81232.

Prime Factorization of 81228

Prime Factorization of 81232

Now multiplying the highest exponent prime factors to calculate the LCM of 81228 and 81232.

LCM(81228,81232) = 2⁴ × 3¹ × 7¹ × 967¹ × 5077¹
LCM(81228,81232) = 1649578224