What is the Least Common Multiple of 81658 and 81665?

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 81658 and 81665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81658 and 81665, than apply into the LCM equation.

GCF(81658,81665) = 1
LCM(81658,81665) = ( 81658 × 81665) / 1
LCM(81658,81665) = 6668600570 / 1
LCM(81658,81665) = 6668600570

Least Common Multiple (LCM) of 81658 and 81665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81658 and 81665. First we will calculate the prime factors of 81658 and 81665.

Prime Factorization of 81658

Prime Factorization of 81665

Now multiplying the highest exponent prime factors to calculate the LCM of 81658 and 81665.

LCM(81658,81665) = 2¹ × 40829¹ × 5¹ × 16333¹
LCM(81658,81665) = 6668600570