What is the Least Common Multiple of 85472 and 85481?

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 85472 and 85481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85472 and 85481, than apply into the LCM equation.

GCF(85472,85481) = 1
LCM(85472,85481) = ( 85472 × 85481) / 1
LCM(85472,85481) = 7306232032 / 1
LCM(85472,85481) = 7306232032

Least Common Multiple (LCM) of 85472 and 85481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85472 and 85481. First we will calculate the prime factors of 85472 and 85481.

Prime Factorization of 85472

Prime Factorization of 85481

Now multiplying the highest exponent prime factors to calculate the LCM of 85472 and 85481.

LCM(85472,85481) = 2⁵ × 2671¹ × 11¹ × 19¹ × 409¹
LCM(85472,85481) = 7306232032