What is the Least Common Multiple of 81280 and 81295?

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 81280 and 81295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81280 and 81295, than apply into the LCM equation.

GCF(81280,81295) = 5
LCM(81280,81295) = ( 81280 × 81295) / 5
LCM(81280,81295) = 6607657600 / 5
LCM(81280,81295) = 1321531520

Least Common Multiple (LCM) of 81280 and 81295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81280 and 81295. First we will calculate the prime factors of 81280 and 81295.

Prime Factorization of 81280

Prime Factorization of 81295

Now multiplying the highest exponent prime factors to calculate the LCM of 81280 and 81295.

LCM(81280,81295) = 2⁷ × 5¹ × 127¹ × 71¹ × 229¹
LCM(81280,81295) = 1321531520