What is the Least Common Multiple of 85280 and 85296?

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 85280 and 85296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85280 and 85296, than apply into the LCM equation.

GCF(85280,85296) = 16
LCM(85280,85296) = ( 85280 × 85296) / 16
LCM(85280,85296) = 7274042880 / 16
LCM(85280,85296) = 454627680

Least Common Multiple (LCM) of 85280 and 85296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85280 and 85296. First we will calculate the prime factors of 85280 and 85296.

Prime Factorization of 85280

Prime Factorization of 85296

Now multiplying the highest exponent prime factors to calculate the LCM of 85280 and 85296.

LCM(85280,85296) = 2⁵ × 5¹ × 13¹ × 41¹ × 3¹ × 1777¹
LCM(85280,85296) = 454627680