What is the Least Common Multiple of 85335 and 85345?

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 85335 and 85345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85335 and 85345, than apply into the LCM equation.

GCF(85335,85345) = 5
LCM(85335,85345) = ( 85335 × 85345) / 5
LCM(85335,85345) = 7282915575 / 5
LCM(85335,85345) = 1456583115

Least Common Multiple (LCM) of 85335 and 85345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85335 and 85345. First we will calculate the prime factors of 85335 and 85345.

Prime Factorization of 85335

Prime Factorization of 85345

Now multiplying the highest exponent prime factors to calculate the LCM of 85335 and 85345.

LCM(85335,85345) = 3¹ × 5¹ × 5689¹ × 13² × 101¹
LCM(85335,85345) = 1456583115