What is the Least Common Multiple of 81730 and 81749?

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 81749 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 81749, than apply into the LCM equation.

GCF(81730,81749) = 1
LCM(81730,81749) = ( 81730 × 81749) / 1
LCM(81730,81749) = 6681345770 / 1
LCM(81730,81749) = 6681345770

Least Common Multiple (LCM) of 81730 and 81749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81730 and 81749. First we will calculate the prime factors of 81730 and 81749.

Prime Factorization of 81730

Prime Factorization of 81749

Now multiplying the highest exponent prime factors to calculate the LCM of 81730 and 81749.

LCM(81730,81749) = 2¹ × 5¹ × 11¹ × 743¹ × 81749¹
LCM(81730,81749) = 6681345770