What is the Least Common Multiple of 81730 and 81744?

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 81730 and 81744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81730 and 81744, than apply into the LCM equation.

GCF(81730,81744) = 2
LCM(81730,81744) = ( 81730 × 81744) / 2
LCM(81730,81744) = 6680937120 / 2
LCM(81730,81744) = 3340468560

Least Common Multiple (LCM) of 81730 and 81744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81730 and 81744. First we will calculate the prime factors of 81730 and 81744.

Prime Factorization of 81730

Prime Factorization of 81744

Now multiplying the highest exponent prime factors to calculate the LCM of 81730 and 81744.

LCM(81730,81744) = 2⁴ × 5¹ × 11¹ × 743¹ × 3¹ × 13¹ × 131¹
LCM(81730,81744) = 3340468560