What is the Least Common Multiple of 85475 and 85488?

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 85475 and 85488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85475 and 85488, than apply into the LCM equation.

GCF(85475,85488) = 13
LCM(85475,85488) = ( 85475 × 85488) / 13
LCM(85475,85488) = 7307086800 / 13
LCM(85475,85488) = 562083600

Least Common Multiple (LCM) of 85475 and 85488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85475 and 85488. First we will calculate the prime factors of 85475 and 85488.

Prime Factorization of 85475

Prime Factorization of 85488

Now multiplying the highest exponent prime factors to calculate the LCM of 85475 and 85488.

LCM(85475,85488) = 5² × 13¹ × 263¹ × 2⁴ × 3¹ × 137¹
LCM(85475,85488) = 562083600