What is the Least Common Multiple of 85455 and 85464?

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 85455 and 85464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85455 and 85464, than apply into the LCM equation.

GCF(85455,85464) = 9
LCM(85455,85464) = ( 85455 × 85464) / 9
LCM(85455,85464) = 7303326120 / 9
LCM(85455,85464) = 811480680

Least Common Multiple (LCM) of 85455 and 85464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85455 and 85464. First we will calculate the prime factors of 85455 and 85464.

Prime Factorization of 85455

Prime Factorization of 85464

Now multiplying the highest exponent prime factors to calculate the LCM of 85455 and 85464.

LCM(85455,85464) = 3⁴ × 5¹ × 211¹ × 2³ × 1187¹
LCM(85455,85464) = 811480680