What is the Least Common Multiple of 85288 and 85292?

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 85288 and 85292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85288 and 85292, than apply into the LCM equation.

GCF(85288,85292) = 4
LCM(85288,85292) = ( 85288 × 85292) / 4
LCM(85288,85292) = 7274384096 / 4
LCM(85288,85292) = 1818596024

Least Common Multiple (LCM) of 85288 and 85292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85288 and 85292. First we will calculate the prime factors of 85288 and 85292.

Prime Factorization of 85288

Prime Factorization of 85292

Now multiplying the highest exponent prime factors to calculate the LCM of 85288 and 85292.

LCM(85288,85292) = 2³ × 7¹ × 1523¹ × 21323¹
LCM(85288,85292) = 1818596024