What is the Least Common Multiple of 72834 and 72845?

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 72834 and 72845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72834 and 72845, than apply into the LCM equation.

GCF(72834,72845) = 1
LCM(72834,72845) = ( 72834 × 72845) / 1
LCM(72834,72845) = 5305592730 / 1
LCM(72834,72845) = 5305592730

Least Common Multiple (LCM) of 72834 and 72845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72834 and 72845. First we will calculate the prime factors of 72834 and 72845.

Prime Factorization of 72834

Prime Factorization of 72845

Now multiplying the highest exponent prime factors to calculate the LCM of 72834 and 72845.

LCM(72834,72845) = 2¹ × 3¹ × 61¹ × 199¹ × 5¹ × 17¹ × 857¹
LCM(72834,72845) = 5305592730