What is the Least Common Multiple of 81276 and 81280?

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 81276 and 81280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81276 and 81280, than apply into the LCM equation.

GCF(81276,81280) = 4
LCM(81276,81280) = ( 81276 × 81280) / 4
LCM(81276,81280) = 6606113280 / 4
LCM(81276,81280) = 1651528320

Least Common Multiple (LCM) of 81276 and 81280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81276 and 81280. First we will calculate the prime factors of 81276 and 81280.

Prime Factorization of 81276

Prime Factorization of 81280

Now multiplying the highest exponent prime factors to calculate the LCM of 81276 and 81280.

LCM(81276,81280) = 2⁷ × 3¹ × 13¹ × 521¹ × 5¹ × 127¹
LCM(81276,81280) = 1651528320