What is the Least Common Multiple of 81472 and 81492?

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 81472 and 81492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81472 and 81492, than apply into the LCM equation.

GCF(81472,81492) = 4
LCM(81472,81492) = ( 81472 × 81492) / 4
LCM(81472,81492) = 6639316224 / 4
LCM(81472,81492) = 1659829056

Least Common Multiple (LCM) of 81472 and 81492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81472 and 81492. First we will calculate the prime factors of 81472 and 81492.

Prime Factorization of 81472

Prime Factorization of 81492

Now multiplying the highest exponent prime factors to calculate the LCM of 81472 and 81492.

LCM(81472,81492) = 2⁶ × 19¹ × 67¹ × 3¹ × 6791¹
LCM(81472,81492) = 1659829056