What is the Least Common Multiple of 85320 and 85335?

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 85320 and 85335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85320 and 85335, than apply into the LCM equation.

GCF(85320,85335) = 15
LCM(85320,85335) = ( 85320 × 85335) / 15
LCM(85320,85335) = 7280782200 / 15
LCM(85320,85335) = 485385480

Least Common Multiple (LCM) of 85320 and 85335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85320 and 85335. First we will calculate the prime factors of 85320 and 85335.

Prime Factorization of 85320

Prime Factorization of 85335

Now multiplying the highest exponent prime factors to calculate the LCM of 85320 and 85335.

LCM(85320,85335) = 2³ × 3³ × 5¹ × 79¹ × 5689¹
LCM(85320,85335) = 485385480