What is the Least Common Multiple of 85445 and 85465?

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 85445 and 85465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85445 and 85465, than apply into the LCM equation.

GCF(85445,85465) = 5
LCM(85445,85465) = ( 85445 × 85465) / 5
LCM(85445,85465) = 7302556925 / 5
LCM(85445,85465) = 1460511385

Least Common Multiple (LCM) of 85445 and 85465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85445 and 85465. First we will calculate the prime factors of 85445 and 85465.

Prime Factorization of 85445

Prime Factorization of 85465

Now multiplying the highest exponent prime factors to calculate the LCM of 85445 and 85465.

LCM(85445,85465) = 5¹ × 23¹ × 743¹ × 17093¹
LCM(85445,85465) = 1460511385