What is the Least Common Multiple of 85488 and 85507?

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 85488 and 85507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85488 and 85507, than apply into the LCM equation.

GCF(85488,85507) = 1
LCM(85488,85507) = ( 85488 × 85507) / 1
LCM(85488,85507) = 7309822416 / 1
LCM(85488,85507) = 7309822416

Least Common Multiple (LCM) of 85488 and 85507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85488 and 85507. First we will calculate the prime factors of 85488 and 85507.

Prime Factorization of 85488

Prime Factorization of 85507

Now multiplying the highest exponent prime factors to calculate the LCM of 85488 and 85507.

LCM(85488,85507) = 2⁴ × 3¹ × 13¹ × 137¹ × 37¹ × 2311¹
LCM(85488,85507) = 7309822416