What is the Least Common Multiple of 85473 and 85492?

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 85473 and 85492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85473 and 85492, than apply into the LCM equation.

GCF(85473,85492) = 1
LCM(85473,85492) = ( 85473 × 85492) / 1
LCM(85473,85492) = 7307257716 / 1
LCM(85473,85492) = 7307257716

Least Common Multiple (LCM) of 85473 and 85492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85473 and 85492. First we will calculate the prime factors of 85473 and 85492.

Prime Factorization of 85473

Prime Factorization of 85492

Now multiplying the highest exponent prime factors to calculate the LCM of 85473 and 85492.

LCM(85473,85492) = 3² × 9497¹ × 2² × 11¹ × 29¹ × 67¹
LCM(85473,85492) = 7307257716