What is the Least Common Multiple of 85280 and 85291?

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 85291 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 85291, than apply into the LCM equation.

GCF(85280,85291) = 1
LCM(85280,85291) = ( 85280 × 85291) / 1
LCM(85280,85291) = 7273616480 / 1
LCM(85280,85291) = 7273616480

Least Common Multiple (LCM) of 85280 and 85291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85280 and 85291. First we will calculate the prime factors of 85280 and 85291.

Prime Factorization of 85280

Prime Factorization of 85291

Now multiplying the highest exponent prime factors to calculate the LCM of 85280 and 85291.

LCM(85280,85291) = 2⁵ × 5¹ × 13¹ × 41¹ × 19¹ × 67²
LCM(85280,85291) = 7273616480