What is the Least Common Multiple of 85410 and 85426?

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 85410 and 85426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85410 and 85426, than apply into the LCM equation.

GCF(85410,85426) = 2
LCM(85410,85426) = ( 85410 × 85426) / 2
LCM(85410,85426) = 7296234660 / 2
LCM(85410,85426) = 3648117330

Least Common Multiple (LCM) of 85410 and 85426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85410 and 85426. First we will calculate the prime factors of 85410 and 85426.

Prime Factorization of 85410

Prime Factorization of 85426

Now multiplying the highest exponent prime factors to calculate the LCM of 85410 and 85426.

LCM(85410,85426) = 2¹ × 3² × 5¹ × 13¹ × 73¹ × 11² × 353¹
LCM(85410,85426) = 3648117330